{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import ifm3dpy\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from scipy.interpolate import RectBivariateSpline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Image Rectification\n",
    "\n",
    "This Jupyter notebook demonstrates how to perform image rectification on an\n",
    "O3D303's amplitude image, using the camera's inverse intrinsics and the camera\n",
    "model of the O3D303.\n",
    "\n",
    "The O3D303 camera model is based on the model described in this document:\n",
    "http://www.vision.caltech.edu/bouguetj/calib_doc/htmls/parameters.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "cam = ifm3dpy.Camera()\n",
    "fg = ifm3dpy.FrameGrabber(cam, ifm3dpy.IMG_AMP | ifm3dpy.INV_INTR_CAL)\n",
    "im = ifm3dpy.ImageBuffer()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "fg.wait_for_frame(im)\n",
    "amp = im.amplitude_image()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Unpack intrinsics values\n",
    "fx, fy, mx, my, alpha, k1, k2, k5, k3, k4, *_ = im.inverse_intrinsics()\n",
    "\n",
    "# Create the camera matrix\n",
    "# If the current application is using the 23k imager, fx/fy/mx/my must be divided by two.\n",
    "# If the current application is using the full resolution imager, fx/fy/mx/my can be used 'as-is'\n",
    "settings = cam.to_json()\n",
    "if settings['ifm3d']['Apps'][cam.active_application() - 1]['Imager']['Resolution'] == 0:\n",
    "    KKNoAlpha = np.array([[fx/2, 0.0,  mx/2],\n",
    "                          [0,    fy/2, my/2],\n",
    "                          [0,    0,    1]])\n",
    "else:\n",
    "    KKNoAlpha = np.array([[fx, 0.0, mx],\n",
    "                          [0,  fy,  my],\n",
    "                          [0,  0,   1]])\n",
    "\n",
    "# Generate the pixel coordinates\n",
    "px,py = np.meshgrid(np.arange(0, amp.shape[1]),\n",
    "                    np.arange(0, amp.shape[0]))\n",
    "\n",
    "# Homogeneous coordinates\n",
    "coords = np.hstack([px.reshape(-1,1) + 0.5, py.reshape(-1,1) + 0.5, np.ones([px.size, 1])]).T\n",
    "\n",
    "# Transfer into a normalized coordinate frame\n",
    "# (f=1, origin is the center, Dim: -1..1)\n",
    "coords_norm = np.linalg.solve(KKNoAlpha, coords)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Apply distortion\n",
    "R2 = np.square(coords_norm[0]) + np.square(coords_norm[1])\n",
    "R4 = np.square(R2)\n",
    "R6 = np.power(R2,3)\n",
    "radial_dist = 1 + k1*R2 + k2*R4 + k5*R6\n",
    "\n",
    "a1 = 2*coords_norm[0]*coords_norm[1]\n",
    "a2 = R2 + 2*np.square(coords_norm[0])\n",
    "a3 = R2 + 2*np.square(coords_norm[1])\n",
    "tangential_dist = np.vstack([k3*a1 + k4*a2, k3*a3 + k4*a1])\n",
    "\n",
    "coord_dist = np.vstack([np.ones([2,1])*radial_dist*coords_norm[0:2] + tangential_dist,\n",
    "                       np.ones([1,px.size])])\n",
    "\n",
    "# Transformer --> Pixel\n",
    "KK = KKNoAlpha\n",
    "KK[0,1] = fx*alpha\n",
    "#KK[0,1] = alpha\n",
    "coord_dist = KK.dot(coord_dist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = RectBivariateSpline(np.arange(0, amp.shape[0]),\n",
    "                        np.arange(0, amp.shape[1]),\n",
    "                        amp)\n",
    "rectified = f(coord_dist[1]-0.5, coord_dist[0]-0.5, grid=False)\n",
    "amp_rectified = rectified.reshape(amp.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
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Y5jImdcbxh71F2bBllwshtXmNd2Ob5sJe7PvWna5855nHuvL2y3NpdpKhDLKA3B935Ysvz+bnzZQh3ntKYoWVn/MrPiv5RPL90WdRru8NxQzZY7UhW9sDzUaGVJl5GJlZWR8n+6lIm1wfyfhF9m5HDFI8DrQhTXJ9J+P0yDPc2h2Widc1Dmlv7cSmrjUWYxXci9I22Ac5+pnYNHHBOqxkyejYvB2H/GHluhXi857EgDl7GO4PjeOgnNjV63yGV2s71je2GMBc2kyuIcRYjh2fJDYicc0x2sZgnO16FpPs9GNclmQUgxPIMsD2g31MrNNz4/a5rrx1077RYQx28OhWbPJwjKv2vh2t/YNvvdmVm8vzpQBq+6ec6iBazJr+/Jiw9MAnkHJICCGEEEIIIYQQ4gyjH4eEEEIIIYQQQgghzjCnw1ZWlUli28xkHqcHl77aH1gKwNJsWB4sCbcry0PG1hXCEnlodlL5vumY1jgeOa7DqpS7Nlx2OAc5hXFyXG11JpVLm+MU2qAYq8rmXceqQI7scl4RCTCTQ5sZWHp2mV4HIV+fNmo7JJ97jlsua4fr2KNtyNG31QW9Nsj9j2TQSBy8hm0rZzsL4WQWM8gKQexUtTFOzmq2DNyfQWZMNGbRrBkkU8bAsHWFEMJePZP4oqQZ5dQsaxrLsobksn3cvROtbHswvUlUMSf3i+keyJu3Yoayq38Z5c3T3VmbXj/uQwWZMIZvxoxnw8JMGeJ9pOQ+Xmr7KLSDl1jdzO2WzaVrnPncy6rP0HVsfJuw9zisX+bHiUXbsd0a8frKFGS9es+WJyj8DhT1SeyUntgo23fptu+xzdGNFd8l9rHlVv1l41NLWq4LZski46PFzIqNPBY0ZiXDNlPopjbmUpO4j9n52eG0+mEWNIyBMDMsZg7D/Tlfx4xde/1ZDLY/Hphtx1PMpxbBTGQYs7FsbfujmSVsciPGUYMYDoVxdJuFSXSPhYPL8Uu7dSfuT5qNHMbcn+1bs7sNHcKxhEyy1Q60cSDlkBBCCCGEEEIIIcQZRj8OCSGEEEIIIYQQQpxhToetDPBIIau51g2tYUzuWCqn3HgWjoK+17FEMXta16dHOszKDrublYHLZY9yKC+Tqax4fjzXh3ncNiXnLmi/MXtUwU+/LGMIPT3G+On165DmsmuW3ANynxdlKTk5r0SObbR/gOc7tXMSK5mDXr04b5Z9LGmT/I8jCwdsYGUdwzqU3TIrGcIsXG3WDCZ/Zn3gKCwbGEqTW8kwWtrYnBDsD8soU97qzTJl7M6zloUQQi9EeTNKl/vk+DBbmcW94yhp7r8GNrGYRCw0u7F8dCGen9FHo+55981og9v56ltx23Mzq1ozjGFE0499VPdgoL7eQ33HUPLMIZasRAa/jm0r85wpTuCZybxEM1sWxmYPYimCkvGz25VayYxzWGxnL5x3SVbXjcT2jiUTKnYtl1gH14hTaGa3rkFmHsvGx25yc2QHxZPxLNmfsgxx2b5Zm4wVvyLnp8Lt2FQxZjM+T3Yd4xd8xpPjmdro7X66LqCPBrNukX33ZIa1Vl/pkdgIm6J53JOFlVncWhLbGcaRuGwBtMFMrhO4UbUxWJu1bGE8qE/iOHKzQ4sZ7ueNe7PAaus6fH4Yxxmdj33vPwuZ0wYxHrzwMszxKLZBmrmtrOrB/I5j2+bgINaP5vUTn7VfEZsQQgghhBBCCCHEGUY/DgkhhBBCCCGEEEKcYU6PrWyusvJlZ1qUpjFbyiayVxX3UTAOlW965NolfZZKp8m22TET+x98zuSmq8qEyf7Q5mQ/6bbtfNHdUWi7o9k8MiS2JpSKll57rQLYkXnOdcmWyKEd57XYPldiZaM+QiiT41LNt03OQ6kUPNeGzLsi5562yYxJVfAggW2m9oFgtxqr3spgdrK+NFOGJZ1mVrJSGxjNQJbZlmUOwwxl/SSLWay/2N8PIYSwU9sSYYTJr48n8ZGNUmds3+7bmzcvdHVbN+GcoEJ7EPf34OHYZje6x0I9gmtlK8qe20wZoYqZ0KrRZPFz3K5xXLvi1JA8O7KWrFX9Ts44xGq7YqbOpCmJTYoyW57YNosjHvPwIJdBWBmH9epBZqoz+/CAsZ4nXmMxejDqC2M3TyxuZjFm8Xdp7Ji7EAsypp7sO7GSrXpuEys+juPv25NZrJnCc5NZ/jOWMDoNup09R2qjn89rOsW28DnNhJa36GO807bB+A7jJSsGOdl3kvAZ2lvWM5a91ZOlFmOjUbOYERb7xtgN7Who8w8Qd/UraA9LORxCm/0bM1vZxVuxi/o4tu0f2F/kxKE5gZgarPtVH8rt55itDLPHwoXQHMZ4zIOUQ0IIIYQQQgghhBBnGP04JIQQQgghhBBCCHGGOT22shwZyTK1CjHZs6O9PY/M50vmle2HWWvQRleYjaAdnynxSrM80GwNRv8eK1Vp322fVFnI5NpMMpwb09OfxxKVkZ8zK1l5OhYDdo6Z7Q9hFs2CcVjf9HtXIu+m8ubVpcud7LlUiu1p011XzOeI2+X3IUkKhJLU9nvP0vElfaxe35YxI0aaNcOWGnusZHXPbr+s7mQ9SpeZJczatiJz7cMXfxzsrBn9imUam7Uf9mIWigla02C7KTnhOM7hOFq8cC4H8/rpa9HuNXe0hRBCqECufHwVMrU9EusvXIvS5Po+scEdzbOubQ1jHWrbx5Ct7HjedmIfG3F6KLGguKxkhTFGSfxSYh/bFGyuuZhkrYxaG7aPFdvRcvv5IG1qQHFG0qSNUcbNmLUxZxk7WW+04XFu4bxzbXBOha/+18qWXLJd0d9b5PgYmVmX9lcQU1eOuCuxgS3t7cR4ZB4sfmLzsm672Admg2XxULItsa9ZywVUpD+PnR+3HcAc0TbWxmksXvRkbMU2B5PBwuc9EqPhMgBbEKft1XF+7xzvwTixn1fuXOzKg3dmP6309yGePYrlrduxfOXPYqy191Ycs383ZrUNY4gNL8ZMst3Hl6KtrD6M+9sDi1nYnsdpd6BuCVIOCSGEEEIIIYQQQpxhTp1yKP31mr0uX96Ha3FDsqBZbjHnlRcgZO3pmx3HawmmfjL7K5jTySae45l7O7bOWwnjx/bSN190QeykEZR7i3VsIUx6fFjZOp/kjYLr7c+q6jTHdq63ndYci88PvomxN+7aeCblUq2RN0S5FyCe7dhblE7RA3U1SrgW287aw/EhainruLG2qDKqkjdOjd0Guu5lFqNki1OXqoWsPnEBRFTdbPfHC9ucHJO92WLqIms7XOjQ86ZsPI1vaSbzbXEfUC2Eb62wzQj6QNXRuBfn0g9x22/duBJCCGHrBnx+AMc7Ng3Dd2CxxjEch6M4znQICxzubkE/s7lPrsQ3aRW84eqBoqhbnLqn91Gnkio43uLH4qqLT6+8gPKm+jC2LY0Xk1t+ibK2YE4Lw5eIicnz26O2dsWameGL2bDqaOPnYcMxrSv5RvIBlMn1tvFrIodj35uVO199zPRY5WOmXH8uYWSPrPxtJiKBWIepn4IdG2Xn4VAzsRgsGZ1ciMN6Fjh41EKDemLWM9WPFTP2jFjs5Jg1UQBh3HVzFOOTdsHpafJHCyrKY/0AAqWdflzMeQRtbhzFvm/fjuW9G7N96B/GvnFBarwOtu7ENsM7Me5q+hBrQjA+vhBVQpOd/rw76Ps+HMsaVEJt2RmDKVITQgghhBBCCCGEOMPoxyEhhBBCCCGEEEKIM8yps5UxLDVaso4rXfSWWVTIQCX2EsLKCw96LGulViBr4T3HmCsvVL2GRJhJtF2yb+fns0ZQLpLSO+o9x7NkH9hcV73GGKXXvSXTJX00oGzkC4tWVtHu3yOPL61f9Vh56pH2uCUXtd0HXRiRLSpoyHA91jCUEU+nYC2q84sHt3NkkuaGyJiZpJnJlGujvjakyCf7tmxiJ8dJFpme34SJ58IZAAAgAElEQVSYdHkAxw0XUWQcTeMj9t5kZsnqwQlnC0+jfewSrCbd9hFCCMfY9yjWH7x6PoQQwnlYhHqAUmOY9qWvxvF3r8eFpwfvxsUQ67tHcb7nolVscm425vhcXACx3gd7Hyx8XfV35w30Puq00n2FNnEvZM0LnuXIWovlZuIaT7IOOmRBLLHqvi8MmXn+rGVbMvpz12c+X8sin4MFjLnrZlPxYvaYLLeZL5TXiMuzc8Lnpqe/zDFMnvGeDpP+HMcl9zmx3VW5c+/pmyXloNtijGN8nMQswWyblu3+PLGU9/MQ0jgpiZ8MGz/uFovXMDbaqsGiDjuBFrM+jD+eb+uxryWxq9kihLsQG1n9DOGawQWmJ3AxXenf78rn62gxe+X+5TiXm3Gcwb3ZOP1D287fG0EMWMd9OLocY6nqQozvhjuxPB30oDzbdnjbThrSDGBJgCZ/HSCK1IQQQgghhBBCCCHOMGv9OFRV1aWqqn6rqqqvVFX1YlVVP1JV1ZWqqn63qqqvz/+9nO9JCCGEEEJ4UQwmhBBCiE2yrq3s74UQ/p+maf5mVVXDEMJuCOG/DiH8XtM0f6eqql8NIfxqCOFXch01vVYTm5c+ZZWLicIU5fRlmtVOBlsq0yVzsa1xYIdgKTHWGT/TB5NneiTQJRkSEJfytESCXbhv6WTs9u2YrmQBK1oR0+xnhbJjHJLtv/HTL50e7nuS2c2xQ4Ydgdo8e+TEokwWrE1p+/m/Pft7kmQ8S2xqjn2wrgMmT/dAjuGKSX4SPFkmeoYljG2XyIiJlYzZtnLUDvkzy1CWjD//dwhZMDxzGvZI1gxyQlvZcZLBDJqiXBrHZLJnzG72xtHFhc8x4xpmysBsG1uQie1cHS1eB5No8Xrp9tXY/uasn+FdOK+JjNmcahjtxfEn21EivQVZMxo4GKNzs/ChN4IMZcdwvKFtmzVjE9mqRMLGYrCVKLQ9F9vDVn32szGtz12ZLcvGNOM+FidswkKEXXhip1KLWUkfDHatlNjaiCUqeVQncVUw22fxXMsF3VHL/Tp2SYPiWH3F2JXFVDQDLO8I2meWKnBY8dNtSfv2Y5ItLLFvka4ZOSsZwrK+pnGN3Q+zfuXaYt8DiPUSWxn00zds+Sy7qycTGe4yxkwYj1lj9sq+beGYBTnd2BCz4PEDq35/MggWzwzf6cqj6Ue7cht3hRBCb56ZLOl6QI4PJruD+9VkG+LBnRjroSVteHcWb7WZY0MIYbpj/6zTzC39GMMtY2XlUFVVF0IIPx5C+AchhNA0zXHTNLdDCD8XQviNebPfCCH8R6uOIYQQQgghUhSDCSGEEGLTrGMrez6EcD2E8D9XVfXnVVX9j1VV7YUQHm2a5o0QQpj/+4i1cVVVv1RV1eeqqvrc6Oi+1UQIIYQQQiyysRhsfKAYTAghhBDr2cr6IYTvDyH8ctM0n62q6u+FmXzZRdM0vx5C+PUQQjh35eki30Ur1fLJgdFeQtpselnuAmlwYnvDfd+w1LhU0kszh03t+qIxQ75+41ayHqln3VhtPFJsj4x53nkT8tcmwyUXb8/Vhq5vvCYKnEW8MZEguyx2y+rCEivZJmTcTOpM6pOv9by6gmPZA3lzg4raRFJMpkL09G09kyizPhJrWnIebJly25rZqjxWMhyzrm0b2GAuNW7IhY/jYxltXZg1g2VVGcxvcCwTGZNRJ2U40GPo5+50a+lct8ACNyIPpaeGN7ryURMf3//i7ShvPjf/Ox8zZbB7ONrNcMgxZMSYPBYlzbhtW26lzSGEMB0ul3OHQmu3WMrGYrDdRyAGS2w5a3gsVsT8aq5of1nWj2Ud37jtDdp4sp8VZ48q6ONB7qcrHmHnkLRZOZvdJiChuAczfvHEwo5YPKEg65jrfGN9Ll7e2Hcjs5SGI9CsWLyIO92z45dYR/qmfkV/XGXFf8vokcxhLCNstj+877C+k/ZgWbOyvUJMw+I+Vo9U9IY0HxuCDRb3YR+WHe0knX0NvlSYoWwMFz5mg33jOC4J8MTgVlceQMw2uBfH6R/Nlycg4VByeKA82Yr7ORlCTAn9DGGcap4RdgQZY9E2huOMd+ZZ4PoP2FYWQng1hPBq0zSfnf//b4VZoPJWVVWPhxDC/N+31xhDCCGEEEKkKAYTQgghxEZZ+cehpmneDCG8UlXVR+ZVPxlC+HII4Z+EED49r/t0COG315qhEEIIIYToUAwmhBBCiE2zbrayXw4h/O/zLBkvhRB+Icx+cPrNqqp+MYRwLYTw8yUdeuSpRTawTdl1nJ8vxdi2oZrEsv6ystFVszYsGbPkcza/TciBi/twzDFrK3MoWSmWnr3QdpeQ+T7Qa4PKzPPzsvp07XuhvW9lG1jp8bQkrg45N832R6TErQQ6tXLh5/kxqdTZoJeRUy9rnwxPLBGWfLhfo/Uq1mN2DLRt9cFKVhPLVStvTixj2EdlS4qZhYvR2sNMOfWSvpmkGaXJw97M1obzxuxr98fRvtUHufKd8XZXHg1jf48Pbnfl6l6sH9xb3E+PlDjJlIGSZsiyUR/HNjvXZ/szrSGb2ZY9TqmkWbjZXAyWOzUZa0ypPX9lC9WGLqFueQL2jNmUlS3DWlYy65ywZ7Z/SrP25HyubLkvtd+vyqpxQukBYnGsFUgW/l3Ds4sVWO7Z57RvaJJYjqrF+vf7Nt5zxECJnWrR5o9xVxKDJbEb2seWW/gXhjeOEftzj2WJ9Vi/bJtcxhp2gpI4CfvDLGJYnyxP4IpXl1vI2DHGuCvZh4D7s5gOjGUrw+0wk+zt0W5Xfvn4IXP8oyto82wzgy0MPdsf2J36IJZHF6B8zrb8D2+D5X84XBgHs5lt34xxZBuDea39a/041DTNX4QQPmV89JPr9CuEEEIIITiKwYQQQgixSTa9FLMQQgghhBBCCCGE+A5iXVvZxmhyktgC2WRDZFM+2eby7YqziCVtcBXxjIbVofwqyUCwTjYsuqj8ij8tbsLW5tp3Mr9im9WSeZzcjmcEWU2X7soCkmxgtPFkymAZHxxjZo+Vx0rm2c+Sc1J6jZHMFlmS7wORF1v1TOaN0yAyXbyWeiTrVy7pI243ndrS6TRz2XLZM5P9MgUrWsk8kmbLNpaTVi9rj9nFUBrcWr7Y51PHzatf2ftWMj+0192bbHXla8dXu/JDfUhbgcyneHzenusUsln0D8CmtxfrR+die3z+1Ucw31E9/xw0zTDk8F48bqPducxa2cpOPSxOaSxvqefZhxTfl/3bZW3hpbjsN44xM/vgOm7YBuNY0txsUGpfW9WeVniO2XHrsn7BQVkrq2uJRdETM9H6Rdv5xrLR5tjQOU7nYpwgz/Gh48PG7G+ITAyWxDd4fWDXfcjM1Vv8knkylHksY6yfdi7cqp+/SSWZXNFCZcRjLKMXG9MTm1gxE8ZizLKGtcxyj7GUtVwAiwuZDYyRxnf+PtIlDmIfmLns4a0Yg93+1Jtdud23vUH04e8NYvCEyw1868aVOCZcK09fuNOVL2/vd+Vv3oq2tnvNrNwDu//em7DcwUGMRfcfmY3pvbdIOSSEEEIIIYQQQghxhtGPQ0IIIYQQQgghhBBnmFNjK1uFJsl4UKZtRGlViYTTZU1j4Jjt/6xhhamI1Lgk60KyP/lF7bNz9Fi2XGQsTMm+k+2Kpe0bkPI2DktSyfVGz3FyLUG1Vc+OZelPw9QKldnndSTa2E1rYUIZcYkFbGHMRfn3rFOjrnQclCbX7GKdd13bfXtkwsmQGTl0akGz65EBWL8SmxXUt3NkbiE2JyZpLpE9DyCjF8tagZnBUD48hG2ncKJzY/ZJpg7MLsbk0m2ZZVnrkRswyptvQdaMw+mgKz/ywRtd+cbVmSdsMBx3dYN+nN/OcNSV37l13hzziYdiJrRzwyiH3h/FjGpv/vETs32IiuewdTvOdeedWD68ZDzvxKkkayVLGrM+7PpNP5NZf6X1JdDMq2yDB2gRytna2P4Wnx9jW48FzhOPZW11+Axh8VDS3lFv7X/pNYh9rBOHWCQ2KNLGmldhrIXxUzV1nHzrmLMxPfuQzCtjX3NlcoVN0WafiVeTr3Ri37Jt9gxmv7fw/Mnqsc53sVdhTJWcKjKOZaPHeAljcU/msHTeMI4Rg3mWG2BZx9g4lsUtHceO7wZopQPT3OPb73blj557oys/3L8bQgjhUh2Dox5stz+NSwX86fnnuvJnrz/bld++F739R5P4U80EvqddCIjxfAzvwngnWv7H89DR+3eflENCCCGEEEIIIYQQZxj9OCSEEEIIIYQQQghxhjkdtrIq5Ff1T6SQyz9HaNYthyTVmsvGM3J4pMPEMtbkZLIn21jDExUk3c+MbJVn61o+D3ebtm+Wiaz05851si6Y/WV03mwzMm8q/2b9FPRdOpeiNsQC5xt/+XFLsmd4rIto28LrPZvJhHRY5dtUGUk1s3IxKiKdTtvY7btpECtZmuWsNINGM/83n9HLI2lmtPNqMpatk6CMmFq/oP10/n9jqB32xsHCM2ZSP7/ZTivcB5ArEyl2Km+O+4Dy5p9+8std+fwHDkMIITzUj9kuhrAd8sWDp7ryZ64/35XvHUXZM+7ndj9qlqeDWf20D9Lyg9g3XgZt5rQGEpuJ04VpzV/R1uXCYUHPxWC0P9bE6nudOM5xG7f2YZ3jxmKsomNVOpdM/O1ZbiGNv9G6mJlY5WhbeK66ru2P14tXc9uy6750nYoV/85I4qeG1JfE7mwfPH83sPrK+rwhZSiS+iapNq4rGCaA7buB5zOLwVjM1FnuHdnKKhIbYVzlic2stp64yxO/tfEL9s2sZDwGZJnLYmDQ9unJDJuzjDHQzo/LEyRxV+H3sU5itln/gyrGjntVTCm2XcU46nv2XjXH/OrdR7vy3eMYj53biv3c/65ZtjS0mr1b7XXlneuxfnhn1jcJBReQckgIIYQQQgghhBDiDHM6lEOIZyHB9sc1T1vHgngrvx3b8OKGxaokz6/77Y/k8KNqsTKk4K3egyCrQFrnGDJK3vaRN1slKir6NnANBU7+jQ95I+dYBDCZr6UGcLzdbegrRrJt7nNWz9RCybbGKyy27xtYfDI5xI43Hvimqq7t9taCidiWLajI3lqxhZXr3uIbL9aWUaq6aeeeWywxBL4Aomf89mIZVvgmDRa1ruw3bNu1X13UJ2ohtjg1W3QxUfTAKoRX+rO3SbgYIpaT/dmFuTwSy19494mufPMwvonCa2j6zEyhdAzzuFPHBbPHOzG8GN4te2sl3gdWve8W9OtaxBg3Neo98d3KCy5vKqbZwLFCimItR1tXf7lnOBFylELPW6sWLY15GdVi0TXtwr8zSvpL4y6qY4pklJc0pnLgSvRRsup5ThW00LdRR5J1ULUQNsmospKPCxXTTPWTKJt7rdo5LNR5+2YxG8ZgtREzsZiOxQ8TUEvVRA1kHaM+tZ7gmPn4FmO2qXEh9B2BQ5I0JTOvPlELJXPCWM/xBZ9Am1Gz+NMK9rcN5Sv1va78ws5bXfmhQax/+fCqOebffv7/DSGEcH18oav7b2/8XBzzON4wuhhsyT4k83W2E0IIIYQQQgghhBB/BdGPQ0IIIYQQQgghhBBnmNNnK/NQIA0uXow3Z1tCe5ZLvksaLa6Jxu1EuBkq4Jhs05oH9FdsB/OMU2TDstu4LGGZedDz7VmY0di2YpYkMtkKBiq59lxy+1Jprn99Nt4HTiU3R7pI+Po2rFn/TWYiRtsQ0mOI5T5p055bx3WfLHTIFh5MrIGLbRqQ9FbUVoVlW4KM9rQoac5byRg90re1bU5+HMKJBZcd7VHu27ZhCxCyRaNL7W65RRCZ7Q1lx8we1tq5kn0g8ucBsbV5Fmk8NiTNuHg1Lk59qRftZs9tXe/KF6/ElaWvHV3pyvfHcWHE/+QH/iSEEMLDsPD1Lx//ra7cG8W256/Nx9/QrUC8R2Se1a4kH4XjWNeI55Zf7KipTvx7cmxm/9m0nX5Fm3sIIfuMcsV6JOFJUdYL1pTOm8RMBUsIsL6T64DFJGRaJeN4yC56noyJwQTrMCxvQ65lahlLvr8FVjIaC9td+Oz8i/XszyfP0gdJbGZYCtPFqzHWwbiDTK9gcWr8PE3mYT/7k/igXh53LavPwRatTpYQyFjCxnDTT+IesrCza6FqK04qTHjC6tt5sViUgbY21h7jtNF8rY3D6dBsOwgQg4HlH9nrHXXl3V5chHof+jxsBiGEEN4aXezq8Ht8/2k4J5PZ/CYDc7gFpBwSQgghhBBCCCGEOMPoxyEhhBBCCCGEEEKIM8ypsJU1ASTJDpmyZdUqzYJRJOVl1i+YRwUaxqbn0UAv9pd8TMc05neiviShQG5+y7Y1bVgbylrhkXpnKZVrGwe9IZag5HgzWTTLmFIvDkfnxLpzjGP+9LtqhrBl/XTXMmZIwO8GSJpLx6fZPPg83P0xTLm2LUHG/UyKmZ/dPVJWKqlesT2VJUPZMy/L1oYSadchJrJeZgNry1g3nqKkefl2y8ZB2jZJ5oueLSlO5kq+hChfro2MGz2SuWwEN56degTt8+enkzQ3UT98d7oDc41jonT5if6trny+d9iVz9WxfGscM5cN5vtzewLZzKbxmBw8AcdtNJvT1ClpFu8xVch+cc2YpNTmU3iP3kRG1Gy2K2Yl89itVp3rpqz9RrnYAueJQ4z9LFoG4EFQan8v6KMY9ndLka3MUU/32bDCW5+v0LftJyVtEc9yAmT8bCzDLPyeP70yz1BPVjJGLvMs9o29Mbt60rcjTirpw2Nvt/pmfZSOyfZhPF2+HbWPESublS1tkmQ2C0vbLhuT0cZeGIMNmrj0AcZ6+9Nov9+uYqy314+x2aX6fle+D+0fqe+GEEJ4q77U1f3gJ77ZlfG8/vH2h0IIIUy3ffsi5ZAQQgghhBBCCCHEGUY/DgkhhBBCCCGEEEKcYU6FrQxBSWY2E0ahVLPEHuUhsZJlspItDjr/l1rn2KD5eVEbWo5Ci9vK9jUikaYyZaPP5DohikzWh0sO3WZLAJuEK7Oa47xlFYqFx5B+Zyqjko3jkWhjP6al0O6kqdfwGubInL+ljQrsDvTrDdkkEskwHiqQQJtHgmTKQNIMGh5LmpE1g7RNEn/QDBqxPOxHeWwrDXapzB3ZJAZg4bJkx0wKjZkieoZ9K4QT1i8y4bbPcdIfkV+TPnAfrPExsxnOe1BBxjXSNz+GcV6trWwEWcuOWy9rCGEb2qLsGTOTXK3vdWWUNN+oz3XlJ+c2tG+PHu7qfuxjX+vKW3Ac/sXux0IIfkmzeP8otocZn3tikE1bkYozlW7gUty0hckV9z1IC1fBucrFTu72bPxmsc5j20/aO4Y0x3a1x6Uk/P2k2cLK/m5IrPtof+qWQSi0cpWS25Zdpy7rYmbuzBbvOJ743GzjtMrI7rp0eEeGssaIWdJOcEmC/DgMK9MZO9z9TKbZZePn7FSYxQvHQct/atH32+d8WcTszLCM1s7l2Q6tX8kyBFAcwP6PIMbqNbM+D4mPHu1j53sxMyxmkt0Fy//5EK39V3sxHnuiP9v2uHm9q7vycIzdHuvf7sov370cQgjhxtDO7HsSKYeEEEIIIYQQQgghzjD6cUgIIYQQQgghhBDiDHPqbGUIlZD2jM9LpcsFEl+WfQxtZaVY2dnonFjWjFWlxuvIm0tg56+wb9M25VHm0swNjjHbNj0iHU4ak2pi9zLnUSxptvs29+09kvWnfeOk8nNxeRetNCkeWfKqUmuHHY9mtmD2MMvuRfpL7Gg0g4Y9xZY6aUvk/uRCqD3HzQClwywrGLZhmb6SNhmJ8bCOUlmW0QztXKklbflBZG0xixkeZ7Y/3Vx7dtYKBPuogz3+NmQxG03hUT7fZZQ0Yx+jKrZFSfN2L/aHsudtkDrvVcdd+Zm5pLkOb3d1P3MljvPs4J2u/I0PPBRCCOHmlk/SLN4/XM9Nw/Lj67ywPjeP5APSH95fa6huL1WXzdw9vVlzo891Msa6PMGrPs9XjA889vziGMdqj4/7wnNFnU2V0aCUgn1LvztlVjJ6fhI7VWa7KalnrGjx4u3Lmrd/WrE4ap3zVjmsTeZ2jjFzti3soueIzVYluTRXXIbgJG0chHGUJ6OYZzmBXH0upjpJSTzGYjC0zNGMa3As4NHSgVYzzFY2gYtpBFviMgPbDWapjdcsWtl25/1cBes/LhXwGCwPcHl7Hq8543oph4QQQgghhBBCCCHOMPpxSAghhBBCCCGEEOIMc2psZU1G5mllA/Nkx/DIULNZ0ZLG0Bb/h1m/CmS/Lrm0p/2qlMpaVxyfSY092cWyPEALFS5q75FLF9m9HNdveWa7ZvFzTwYJhEmXsdrKRlYqJ/ecoPZgsKaQWS7gnKg9NSMB7tl9UAkukbNb2Sx6tS1trhxSY5YpIynbM8yOiSTyWTg/WG4luZ7MElaGDS+tNJhllkizT8Bceli098fazyHJONbPZCLztre265F9YOVJJkMbSpoxWxmOM4UDtD/d6sq4/yMyx+1qtu2VOmbSeHsSM2xchGwbe4PjhfmL00lxVqlNtl0H13MGiq1LmTUtjCPZtrk+SvtOxsll8V1xrot9Znzx7FnFnE+OWKbdtiQT2MI4q0ItiiwYZ+2NtqV9MKz2NNZx9OchN68Nfde72IvF1iTWCix+WvG5w7K30tgMym28w5cEwOeqPT7GTDWx67flgcOGTzOvArmMYmnMYsdUSX+OLGIYJx3PLfI4Tj/JYotxDxwfh5UsF3/gdmOImYaVbYefJNlml8d6GGthJtlRA9vBOMdgNxtNh135fC/GWxbY95eOH+vKX772eAghhMNjO4PaSaQcEkIIIYQQQgghhDjD6MchIYQQQgghhBBCiDPMqbGVdWzChrXpNh67FVOrMdtUW8d+niu0Aq2aZSOXUevkmFnbHdmO7g/ZNyq7bpV2JPuC63yDXahEbVq07yEUSY3poS+V6Ro2MCrtLs2C8SB/SmbaembXtLbzyOlLjidJl4h2UpZNI5f9ARMd9hx9sIxiKJNtjHqPTQ3BTAbMemVJc1lbj5WsIn2bWSscWTB4hjRb9mtlqziaxEfjVl2WYYvNi2XFsMB9wGwWu5AtbEou5jpjrEDZMWa2GBBJM2Y9GyTy6tG8P8wIF8tfBknzl771xKyvI5+kWbz3rBIHrWPX9jyXVo7NHGPmxtiYA7IyxkmWJ1i+3clti2KWdWw++Gyx7F6OJQE8Hi9XprOCz+nwq1ohPQd85bgCIDZ2VxzZZD7fFKt+Kdi5ymQj88RArE0uw2uaDTb2x+IxbMMyl5kxS2L3sufN4iSPPaztksVgzCbmiQfNWI9kK0szudoWNxabjadge59fzNTCn2TuQos8xEyJ3Wtx/xMLP1sSAGxiWz07BqwzlrkJxEPJMgDwByxa/hGMuzAG3GtiDHixtz1ri/Ei9Hdjcq4rVzfn1rSx78Yg5ZAQQgghhBBCCCHEGUY/DgkhhBBCCCGEEEKcYU6frWxFKaTL8uNo48lCtfJcchksPFkZHPMz5dooAS78SdDVvkQC7LDg0QweJfJZRwYNxDr3pXY9V/t2fHZciYw4l5WMbeuZU5OR9y7FzMiBZccBZ9eHdSxKlc2OrF+mZJhY1iyJsnfMVrLs6iOZK9ipQLLLFOetfLdPJM2s79qR8WJgZM1gcmGWHaNyyJ5ZJq+W8TR+gYb9KAEeww2rT7JZTGC+E2PuaCXDPrjVLrZBiXT6JZ+1GSRZyfLHe7d3bNYzOfRkfiWgpBntXqGJY06SmzvYzaZ5+9flejeEEMLL45iVDCXS2Ed1d9735EF4HcQDo+R0FWZsZXFFNrPnGnYvM75bxz7Gjo/RpysrmccWX3BOijOkkQ8qtFVnno/pBKDsiPvMNg/iFXYuNkISm7tttbP6Ttps2prG2rOAgNV7SL7Xrd8rf+4rK4vtQiOIg5itrq3yZCIjVjJmFYtt7XE8lv8cHiuZx3qFtTl7fbIP5IuHtrtBnc/C2sYqfdI3xnEYgw3AHpZkjIU9whiszUZWYsNfNhcrdqxJ7JZmQottMNakGWOTbLiLNy20e9VkTIz02mywJ5nAcRvM29TBPn/YN/0bjyDlkBBCCCGEEEIIIcQZRj8OCSGEEEIIIYQQQpxhTp2trGEeiwJblCdzgsf6RedijemxhGH7Tm7KGth9e5R25v4TSXF2uxNQG5xh93JJpz32rBKrn+MAFUm6sTuPDH6Nfc5tlx57W4KbSMeni5/z681xgeSuVU/fCM2Kxi5QYxw2b4eePpt9gn0HHD+ps1tHOybNdkEzS+THTPqZ72dpdow6I1cOwbZWoSyZyqJJ3yzLBRL3Jy8dHhLJ7hAyTliy3xBSOfSyeZwkkUCDjNrKlOHqD7JZTMiNB2XZSbmVZScZMeKjfggZxybswQrVuYwcbB8xK1ozaC/8dTw84j2BPU9yp67QurJy37kMls7xc219lqN8n2Y/7FiVxk8PEpKtLL8dlIst8su79tw9kjarxo7s74Zi61d73yOfe+L5XDy0rP8cpbFebh6e5iTuaqZgCaubxc/ZOIXpBq1YatXMXcto+8RYi8VAzDKG9X3Dzo9lZg2z5nRynD55hlu2d55BDdpi9iyw2aPFDK1kGD/V1eJ+MDtaqbXfspixffBQJ8sWMLv+vI5kLsOTPDT2PYQQtqtRVx5Am1HTnpM49vXxha787cOrXbk0BpNySAghhBBCCCGEEOIMc3qUQ906Z/i2YsOvSNgbIvImql2Er2EruWLXjrcL2bcOjjcrDWuTexPDFD+OBQNdCyk6Pz855ibejqULVsf/wTcuFXvLknv7Uvqim503o0nRgobLYOv4ZdRpdCFKh/Iuob2eWNseuYDY2+ApqbfGTxQb2BbeQuEikribZMHEynjbh314Lh98Q9MYJ7Gup+bnVDiZvFnxL5I4haoa+i59O4VYqiOm/kkXNPqx+OkAACAASURBVMyX+/BWxHpDlWxHLsj0+IB6Zhofd2yR6bY+VUfZb5OmZDFCVOOMoE07LzrvUPbWCvsZkDdOOXAftntHZht8a1XDmKNmcR6vHsc3VfjWqrsHvFeqB7E6TEBRoK5MuiOvIPFrlU16URgnlCg8itUgjIL4zlNPVdoF82DPeBYzhXy1GVOy7ZIuNhBLJdNmx4TcRovOs0eV41B8VXM1DFN68+t3w+ptFutR5TVpb33OroMJuRBcq6Qv7dqMqU62r/BvAex6XsYYbB24Msiqy6uFPAqlpJ9MnIRwZbattu4bi2azpBwYd02JoqeflM2pwDzscfAkp21iPSYUQVq1EotLsT+MxzznZ5Iswj1a+JypwTGJx/nqIPYBCm+MwYY4rzDbFhe7/te3PtSVX793sStXnTLPdyOUckgIIYQQQgghhBDiDKMfh4QQQgghhBBCCCHOMKfHVjYnsZIRqebGZMAWyTjz/yldVM8jB87sA7VyecrWlBw/A5bazah8eEVc+2x9jvWOhZrTQe023Vw8Nj7HeoG5eiq991j6ctJ6Zt8qZQMWQLpDbLVBy55WeOHRhQxxWoYNLKnDxRKJxcy1qOF829RK5reJhXBC+soWlp6Pg33ggoXMmpb2sXxxaAazTSFsAURmaxvOFzKkEmC6uGLPrPcsjJj/HOYKV8JWz5Y0x3mD/LiyF/JO5NoOu1kqaV4+PrY9DihpxkW947y2K9bfbFvc9z+69XxX/tbtK125Gs/HfKAPb7EWBc/Z3Pal9nJan7PLYNPCMTd9KRYtsL0BOxzrk9rF6XbEbpaLdxx2OGt+7voTwy39IPHoLO8vgSXFwGEK477sNfYgbIyllr0WZnfL4VmmgUBXC2kWO3ItSA24LFlsge85yZ+gLGFExkrGtmVWMhZreeJEa6FoXByZWfC4VWq1JBqJzR3iKxYPMitbS79nx6sTx00ytY3hQtGLP3mw5RPSuTriZWNBatyvKdyYttAmRpYE2KuOuzJbNuDGdGZDuzuNsda3343l669f6sq9o6qdiAsph4QQQgghhBBCCCHOMPpxSAghhBBCCCGEEOIMc+psZR5pY6vwQiUatUQVjmNmSHsflPDrSKRNBRyRfmaSBbjp+imVDuM+5PpeB4e1ynQ8FVj3Fjsk47fyb5gHdVslOlT7CGWl4KXWNByfjFnlTornWDF5L9vndkyWVSPpw3EFg1XM3B1mJ7WrU3nq1J5YK/FFafN0ChmtaBazfLaEGvrMZRSrSX+4Hdqwjqe12b7tk9nE0Mq2Kflurm2SHQPn0rOluQNo32YXw7o+2S6AJauf2MPi+dypozT4YDJcmB87Jkm947uEVrJ2fMyIMYFDhfLnvV6cH7ILmcsGZL6vjmeS5tvT3a7uxuFeV775esyU0Ru1N73l+yHeH5pQ+Jw1XIKldqKibKuE0tjAal9iZz/ZhmVB3YidaBM2bgeu82CM7zn3nmNVBIndaBxbYrFj589Tpn02/rbJZhibeLxaZf07JmD3ba6J4JhHYtuHapIx1mpL5wdgLIVtMMummd2LxblQ5jZ7aG/EVZ4srTTuIW0sCzqzkrHYsU+sSn0SA7b28SHEGp7lCVj8hNvWBdlWPWNiltgB1LexDMZgaNmaFOplcFu0stVGPIzZx3CpAE+mWcxGdghX5UujWYR7f7rV1U1wCYwD/D6c+DeDlENCCCGEEEIIIYQQZxj9OCSEEEIIIYQQQghxhjkdtrIqhKa3XOtkZXMyFrfv+jPbsPYFlrTSjFG0jdG+NKMWrjpe9UibjLy5wMXh2taTFc3T96p2IVd2L8KqmVmSPgraJ3NlFisyKddcc5leHNLhCq1XMEeX1DnTN21D+5lvTDMAbsiz0srmUZqLsuTlmy3WW991tHjVtlyZyYErR9mq81jJmLwZpcZpJog2q0hjtmUZuBLrF5Fr9w1rF1q2MCuYx47GrF84ly1ij8v1xziaxkfsVm+WoQKly67sKkROzuTIVv02ZMewJM8nQRkzHqsJXOV3JjMp8z5ImhPQGpGxD4hTSsEzsdSStY79P9e2JHMYzXzqGDuJd9Z5tpWQxA0Fm3ksXgVzddnxCi17iHk4Hfvus5hl+tu4TSvfZOP2MYwpic09nQAZxzqfheeyIlnRksyvmSxiDdmHCjOHYcyGNnsjxkIrmZWtdhWs57mnN/aMT9oYcVcI0e5VugyBx9aGmUhbOxnGA2gHY/vAYjZmNxtPF7OgstiNgX17jq2FJ2PsJIkjccxF+5oH7O9+M4Tx41wmxhWF8VryUwoeqrKpSDkkhBBCCCGEEEIIcZbRj0NCCCGEEEIIIYQQZ5jTYSsDmCQUy23iHFRsUXmvw2JmZiiDNhvJlnWS+RypNJZkskpgVrKSaaxhkzPn7shcQFWBK1rJaN8eqXNuLoUZq8w+yJi+7C7rS41pxg7my1wnO8cmKJG8F6dJIRh99/qFOkzsDq8VY3iPNYwd7prIodM2/rmj1BatXBW5VnJ9cyuZQ96cud5Rlsxkx3UiI2b9RJuVJTtOZbq2vJhltkB58aAqy9ZmjgnnpIYucI51g20my+cKxwT7RknzYRNzfAwykm6UOa8jyRennA2cWpoRlcVvbZxUhywr28NY+OexqHue4SVLCDA2Ed+R+GVVXMdkVfuYY1tPVrLsNVFobdx0VjRXG+P7QPtJ/lBa/neNey5s28yY1SE8Q/fj84T+3YbnbV4/vQAZnnahDDax43vRfnPuxVjuH8Su7z4Hz7mLhp2J2d5gHGaN292LmT33tmL2zzZOQts8zXiGma6gDT5Pp+RktXFFaXzlidOsLLQeqxRul9r/N2vbx/64rW3xuNG4tCH2MXhAMTs/nh87TgILmuMOPGrg5xnIdJb0aWSmZX8TlD5z1lIOVVX1X1RV9aWqqr5YVdU/qqpqu6qq56qq+mxVVV+vqur/qKpqmO9JCCGEEEJ4UQwmhBBCiE2y8o9DVVU9GUL4z0MIn2qa5uMhhDqE8B+HEP67EMJ/3zTNCyGEWyGEX9zERIUQQgghhGIwIYQQQmyedW1l/RDCTlVVoxDCbgjhjRDCT4QQ/tP5578RQvhvQgh/f5XOG2Kb6lRTbFVuZA0pdIn0tDQTRNveI11mfU+ZxNWQaK+TRWzVLF4uZ4+nfaajtTKg5Kxn5LhV7H8cNr2qOyd5+V8yJYd10uyHZSVjJyU5JysK0B1987nkfHLQEu8RSRdovVre3ayNMV/HBcwknFg/Po632eloLrXeibamKUqxcUiSQWMytSWkVoYKlDRjeVDb0liW5aJH7FFtG5yTRzrNJMBM7lsbx9kjzUVJM8qBUYbbB8muJdHG7UbE3zIgWTswW1nXprEl16zv0TTWs/1BrGwWDLSSDZK52KEBjnk4HSy0pZbDdhi5zjbN5mKw3LkptAtl+/DEJDl7t8fmsyKuuILsjzWvteIUFt9lnlvF1rgSa17pPnhY1Y63qUylBay6JAONqdh2ru9Jwf6z801sU+k4Vn92wNo7iP+zdRMsN9FhFqZbkIVpO9bXR7P2zUF89lXEVob2tStfgTbHsc351+JBvPnR2QQOr5J1SxC818DjGWP340F8Jl7YOezKOTuTh5pkYsOYYGBk/eqTDLTMhtUn9clc2liPLEPASOxwGG9ABlUrwy1as9LMZvaYaKMfwPmx4ipsy2JOlhl2kCxhYGfxzc1vCDFnEq9hLAV9w1cmidmm85vDxPPAy2QDXGhe1Bpomua1EMLfDSFcC7OA5N0QwudDCLebpmn3/NUQwpPW9lVV/VJVVZ+rqupz48P7q05DCCGEEOJMsckYbHKgGEwIIYQQ69nKLocQfi6E8FwI4YkQwl4I4aeNpubPVU3T/HrTNJ9qmuZT/e29VachhBBCCHGm2GQMVu8oBhNCCCHEeraynwohfKtpmushhFBV1f8ZQvjREMKlqqr68zdXT4UQXl95hJxk1yGBdcmLiV2nVZiBY8Kl3qQWLkPO6ZIa26q8dNV/VM4xCfKqsMwJVr1D/u3KDuKwXJWwqqQ7t7sL3RVaELs6z3likvwSyXkpK9sHUF/MUtSQ9mz8zFyofYxp6+/H21/vrnECyNjTPshQH4sy4h5IndEqdukPo176/LXZC/3bL8Q/xu49A9vhHZnZAZN7IbQZxPL2E7dnnwcblMByK5m9NUqAj8azCTObWipXzkt5UT5sWsnInAbQd5I1AsooL06kwSD3bWXc+9O4hi+TFzMbGLLbi9lLWosZHj/sYxsyqB2C9h6tZDWRcZdkARmQzBeHsM/bMO/tJMPJ8hsV2guRprYeEGJNHnwMlrv/l9iQTjYvsN8XZxRjD2ustm75Dvu7x4Zl9rOGDcsTH+Rt5GVzWXk5gcL2JfPwxIhF4xTb3grHzCwh4OrDMxdrnQrX8WFfDjIXwyOZZvGyv5D4eILHWWgg/SY8/kL7mK0m+QPRbMdn8sHV+NysR5AdahTn9dAXZgO98/HY9uBRiEfGccz43DrxfYBHfw+zx0KTNlZhSw8wkiUE8Bii1b23aGPnGcdsy3uf2f+T7KiL1rMe7CWLO3A7jDX7hgUuBDvGmpAssbiWBMsAi/W5DLMsvkvWrMD2sP8DzDJnxLo1scBNyA2dxXd18sMEWvB68+3sJSjw+o3b+67HdX46uBZC+OGqqnarqqpCCD8ZQvhyCOFfhhD+5rzNp0MIv73GGEIIIYQQIkUxmBBCCCE2yjprDn02hPBbIYQ/CyF8Yd7Xr4cQfiWE8F9WVfWNEMLVEMI/2MA8hRBCCCFEUAwmhBBCiM2zVraypml+LYTwayeqXwoh/Dvr9NuxAekps9w0FdHBGhYuqrzccLYGV38ey1iJlDaz7wttSEYOc8xVLUke1pFFb8KahvWl14dxQTF5PD0PgbQxxyPl0uwzm8gU0mM76hm/lekWzoPcHDCbxvBOLI9351kZtuJm022Q2u7HA94Q2S8erP5BrD28MtMjX/4aZGoAe9u7H45tMXtHlUixoR7u4E21aI9CuSnLbMZgkl2ktZP1iIwYZccsg0afyJit7GYop2YZGtj4THZtSY3RysWoG1sCjMdtCvpzyxLHZMcob2bZPrbqI+hncZ9ZNjPMLjYJ8Trc6y3v7+R8j+cX4sDI9hZCCKEP+9baLB/kM+EMsrEYrAqOLEvrfb7QptT+X9K25Nn2ACxR5n4WXvubyLi2scxuBXNhTR+ooXSNay/Xx1rHxzj3FVjOE1v4Ouc79zwv7RutUkbM1njOZmI3s79k4F4OvdFim/EezsO27Q/2Yif3n4zW6Mf+Tax/+wdiMHflxVmfj3w+Pu/e/KH4+fgcPPuOIL6LXSexGc4FaWuTuAct2nBSSq1niBVXsMywLBvXsLbjHYyxWjsZzhvjtSHETOMpxj2OjGZGxto+sb/3GvsYsn1DrHiLxUksK1nSH1k2YXs+d8+cEqu+IwMtxmaTsGhfmyZ/r5fe6GHTotZCCCGEEEIIIYQQ4q8U+nFICCGEEEIIIYQQ4gyzlq1skxRJltuyw2ZDrWRIRgfryiS1qlzak0GC9beODLZt68nE5rFnNUvqlvRRLEUvacvmwra1Kj37Q+19ZND5tsW2tw3LzBOLYmauxX0zmLad2eeMPtHGl2bKIH2gRJr696D58ay+An1mcwxWMuZIhfoeSInvPRU/uPKVWf2N746ZMh7+iyhv7k2idvnmx6FvzKABWcmSzATDxYPFslMwuSvLBpajR75gTNLM2veTTAzVQnmS1NkWKxyHZShDrGwWWEePCVyzuYwY2CbJUEayvOFcqcUMpwLHje1nNyamhQEwWxlazJKsbMbwmHmDWf3Edz45K9JaVqUNWNZo36tu54jjim6XniUBSOcrW5tKXUslsQdbvmGNGCx10C5u0Gzal/ogblfZa3kNK1mJfYz1XZo5zRifW/tjMQn14JHUjwleAzxykkytZiZB7BszTA0gW9mj8NyegM3nRtznGx+fDXT1S7G/h74ULUzvPhMnMt6NbUZ9DBLtmNJjI+raOmImD122skI7PYNZ+7fm1rMRWsboPtjxiGcuuePmyVCGYNybPSeYIc0RU6WW+8yyAZD9jGWMxVhqUNn1Sbayeax5DDHadMrWfilDyiEhhBBCCCGEEEKIM8ypUQ6ZCoHcAnoupQIZw6NkyfW/zk9rOfUI4FlIkC6WbCyqTduWKlZyyiByfNJjbE+M7jO8xLZwvb30LFaZ2Z+SxaZP9tdum8y1UJ1Gj2Fmu4S1rl/j7RdVWTkuWsfbtO7NES6sXGPfWIyd0MX+sB9cWHr+kgAXjsQ5Tbbtt0bJGyR4s3T/6fiW4InPzFQbd5/a6epufFdcDPGhL8bXaqO9uOrh4UMwlXtxMkdX8M0EvvXwv31ib3BK3mB53lSxRRIRpmJqF6Luwxucce5mELgCh+5zmCzMg80PQbUQtrEWth4EXFQb3xQtV/zM+ouqn2TBRFzoct7nwLOoNmyHb7N6YfkbsRDiW6sp2feEdd5Wi/cE87mUeT7SRCCIJw7IzKmUlZU2jsdTsQLIGoYqbWy1kCspSttmnRfHnnNitKWbsTjOM6Z1QZI4wbWfmXPliuk2oeouVI3xNkYd/XvHoQxPYpnlY2Ks05AFmRNlLaiF9t6Mz62ji7HR8QWI/9u/TGksSNTTu7HvWy/E+OnCtfjcvPvMTK701g/G+OHp340TfOzNWH7ne/fi/C7CBOBw4oLUNaqzjQuKxaJM3YL1yHi6eBH1EtV1D+qJ6sWh3sYEIFYdS1aBKplkWxKDJXFDtajexvjKowRKFEAYy1SL/TG1EIvNWNyVY0jUQmzha+wb1d6o5G4Xqq7ZsbTiLue9SsohIYQQQgghhBBCiDOMfhwSQgghhBBCCCGEOMOcHlvZnJw9KsGzeOAaVrKsfc1jT0JKZLClkmLWTeNvW7JAZAiBLyLcVrF9IDtkLUA4q18ch8q56eLQC10sp23EZK2li2/m2NTChBmpfPH4q+5oqUSbHeecHYUdBrYdqa4PYnl4NGs0Oh8nlSyWyO4jpsY/hGo3yknvPj2zkO29GeWj178vbvfWVpRCP/EHd7vyvWejvPnGd8Pi2IPl5yeROTtsXcmC0HBS+kSabFm76GLX5JygNBlBS5bVZph8XmZbYhauVrKL0ulJY0uQe2APw/3creO8rAWxj5r+Ql0IqaR45LDMMVp72CgZh0maY/2U3Dy3qyhpPg64GOV0oY/kO5B5PojTicfG7v189gFuUDaXbPxSai0i2+ZwxZTUVl00q9VZdZwNHLeG7a9joWoW99kX3PKPl7W3uuZJWAptXXScDd/4Sl7nu/ZhNfsas5Ix29QkOudDU0NMAI8leFyFSczXET+HruuazLsfn6F3n4nVV16MA517ddb5vafj5zc/FuOuR//V9Vj+v97sytXPfjC2/4Q9fBKHmAtFl5UTixmz7hsP175hBzvZB8KWIcAEE4P5tth3YiXD/qCeWeOQ5Lg1s/Zo/aLjYLjhWAy8bTPBa6myY+RAjhWLV9NFuGfXG9sHfrxx4WmzSUJrPcO+XZZdB1IOCSGEEEIIIYQQQpxh9OOQEEIIIYQQQgghxBnm1NnKXBiZMtbqrsQ547GmOdqv2jdL3JDLskbbEuk/7Y/KcI3tcDOQDj8Qi1sJJedqDUsfbd8eq7Iu+JjMvmHJgUvsaAvjZLZlF1mp3YDNsWDlfcy2QSXvUO4fQGaAW3NZ60600CQ2Rty1JEPZ1KzH9u9+aNbR07+739XdemG3Kx9fxixnsf7in73Vlfdei2kzXv6ZmPXseHtRdowy4prIe1O5MkpsI5j9AmXFvfnBpTa1nt03k9Vi39PUexBCSLN1MSk2gnLbAekbpcStxHhCfKtoA0Pr1259bNZbJPJnmAdutQVWrTqRK9uZMqxscYOkDzt7B7OSIWglmxrHBY/VBLOoWFkF3yuLjXigmM+iNZ7ZJc/Txr7ENmP1djwrPNtac/RkGC1aVuEkubjYY80jzc3Zlh4rT8DjiQNy27nqZ32v9TdEiZVsHeteSaZHz3nw9LdqBlxi+5tE11a4/xhYbQ7jOIO7aMWfbXwM7qg+WMbQvpzGXTDmbuzvnU/EOOnqF2ZrCEy2Ynx175nY9tyHr3Tlva9Bf8PYedPHuM+OQ0aT2XOzX+dtVUhqbSJtjBii77CjpZnQJmabXJyGfTBbF4PGackcly9VwMj1MaufTZjZ1JAksxq5efVIdrGWIckAy0gtbnb2uWSZg7BowZtiDIbf9bbsvBdJOSSEEEIIIYQQQghxhtGPQ0IIIYQQQgghhBBnmFNjK8vKlEuyP5RKmnt2ee15hNXtZlRezLI1sAwRPeNzRmGblbOXOMbMyqg9x94xfDabhVEXQkjketUE5KZk3uZxKc284cnAZWV2YxnCSsnpzJNMRWTMUitZRk5asfOHCs7EBmbP5ehy/KCazA8i9DHF7BmOeaOtDMuj87NO7zwH2TE+H61Sb30qDnTrI1Eae/6bURbdO4IMU3gHhwwerYUMbUtVIim2Ja7MPhaIJLaV1U5J36kEOc7PyoJxsk3PsE2hfBazhaFM2JW1wrCShRDiF5hksKhJNjfWdzDaswxlHukyWtZqtI2FxWNew3eQyah7SQaNWB5WJCMJ7PKwnRPYziaQxaaC67HLHrjp7D1ic1i2pIyNPPncERvl7O90HMImMpQVzyl3TFj/cO3TTK6sv3VizYI+kv5yc2ExpyfmddwHshnFGCX7WWp5J/HdyjGWZ+c8F0vu7yc2vONcWRb5xLbvcU1B+8Or8FyA58UgJmcN9dHs36134gHfPx9joK1Lh9kh0Vl054OwbMDNWex17vX4jNsHq9sbPxI37H/yka58fAl2FG2jGPaGxRgMj9+QZBFjYH8s3sCsrd121WLsFEIIgxKLYrBjME+WNYwZEssTXMuYjTax+Xe2eFhCwHEcsM2AHGdruQAWd6VZau3+mLW/3eeeI0MZyyRbM6sf7H87xyT+YzFYa2903lClHBJCCCGEEEIIIYQ4w+jHISGEEEIIIYQQQogzzKmxlXU4bFOWbJXbsMgHHjlpb7FvZjNiGTQobRuPtaiw3sysRGSyPgmw3d7az2KZN7NE4fCWZJlsRyXxxXL2eTaLQHY4se7ZcvGN2B9Ls4sZ+4x2IpqtjI7vaTPvk/3U7JBce+TNsW1+H1BOmUC+zGgbu//k7IOtW7Fu+53Y3xHYCA/HUYI8GBDJMI4znPVz8+PxYD3xr+PnO9fjOLc/Gssv/+wlmGusH1+IY1ZG1ozayGIVQgh9zMRQmGXCsmoNa3vf+8Q2NaxtKW065mKWLo+kGUF58WhqZxfDeU2MugGRFCeSa2IlGxhy6EO42BJLm4NtkCCjHNmSdKN1b7tnZ1kbkn3zcNgM5uPEa3k8tW8Cdd1K7FceTrwP0Oe5Eb9srG/rGV4aG61KqdWtxBpOgqd1Mt1u2kq28vEstIyVjEljzk3b7hCSndRFrr3H2oNt2MQTu1u3hgBp67DtEytZVbDEA8Yg00F8to13IAaF/ia78flz/FCsr+/OGm3fhGfYq/G5CUnOwt7DMfNrhRnNIE5qIL57+wdnfT75+/HzS5CV7MYnYv3hRejPyvwU+BICbUzAYpMxHAjLGhZCavO3LF7L+rdI+7D7q0m9FQdhHyxOQt8hxmOmnT+EJH7aBFZshrEgXr8sHmMZY1O71+I5wWywwxBtcqzvUtr+0bo3mdhf2Oz3+ARSDgkhhBBCCCGEEEKcYfTjkBBCCCGEEEIIIcQZ5nTYyqqwmpzVIyt1SIBLrEDMSsbabMJa5JHDZtsw6xVjxTEbj2S2NGuG1R73J2mcH4fJlFeWaHtUndm+C+1jdN8WM0E0tS0ddo3PsM4zO/ZwYCt2fTiyfsU+ln9+sn6a80KGECbbsX50flY+egSO5XHsY/d1yLjwYsygsf+hOLHzl0HqbNxrxuejlBQzlD3xh0dd+fDKVlc+eDJKWZPz2TeyEQRbasxsWGOQ2DK7Fx7DxJ42z8jB5MosWxjKpVFqzDN2LZdos6xfmNkCs2OgNBhtUW09bseyYzBymTU80uWk3nGDsbKRJdnhYB7bvZFZ7xkHaW1tx2BTSyTN0F17HTSFtxnxHcT7YBlMnAmJzYZsYF1/m5p3LpjYUKa+IhsaixPwf4wMp8v6ye4ay1rqWNqA2saWjL2sPoHNZcl4J9vS+HYTdjyG4xiaqd3IQdm0tbey5hFCqM7F5+0I4pQwyU9gfGn2HL7/ROyj2Y9/rm6/HmOm8eV4Ae/sRrv4CGz+PcMGdu1v7HZ1T/1uvJHsvB2fZ+MfjCnUBgOIH8BGvw31R5M4x85a1NixRL/QTtQj7VsrN1r7mb3bNQ6J5aw6jKOwjNZ1j/WMWsycn3vbdPNg9jaA2fgwTmJZYGMf9ufpsepDPWagdSz3YPTfQLYyjLdKYy8ph4QQQgghhBBCCCHOMPpxSAghhBBCCCGEEOIMczpsZU0ws1IkCkkjGxjLTNX07IxE1E6Ec9l09odVcVifSuxhpVnEkmOFyrVMVgp2zqw5LRuTWgZz0rh1MliYkuHCrCKFVrZsfw5YBrLOfrSOjZAdHxwy8xNzRbI8FLpYilbbb1DeTNqMz6NVC7MXLE6sGca6ey/YWQeGrw678uTCYVfe2Y1WseP+POsWZrh7OPbx6vBcV370T6LE9JVnY/vzj97rylv9uA/DfmzfSpl7aI9q7HK/V5axyrKNoVzakwGLSaRLsnCgNHcL5LiJJQzkzcxKZsmK2XbJXFFezCTiME47LybFTvpOjgNmyrCtcUg7l1KJMsK3jXM5xBQwcxpyk+z1lK3sO5KS87XGs5/Gabm2nr4d49gdAh7rVeYhT+Mbx1ezKH4r/Y7R+M4/frpvZIfY8UEnqnUbLd0fj33Puj43tNyCvZ1nuQWP/X95n5XnPJD+Ksf4bRvP06Q/jM+nPti9ktgMR+RKswAAIABJREFUs2yCLb5t0z43QgjhcBifN5Obe115dDNa+7ceAxvYNowPfbdjXn4uWv9f/7FHuvIjfxrbvvNQjMce+77X4/hg29rq21b8Nj7YrjGrKGRwQ+sVblfZz1sWD1n1fThuU0cmMLSgMxt9SVa00gxcVsZYnAdE5y4bGO7nxHgY0UyzBB6n2dsO5/ETWvgZ3HpGlniAq2Vk3MjYUg49z5IvybyEEEIIIYQQQgghxJlFPw4JIYQQQgghhBBCnGFOh62sCtH+5Pi5qm3jsiGdHKfto8B+ZFnaFrpmkuqMfLghcuVSG9iqcmDaB+A5J2a2hILN3HPZhC2Byp6N8Qttai4rWyvvY/r5wmNC2xhWzY1hZSxBq1RyLD3ZNpb3TaexRgaYrUvR+lVdXvwcJc0o18YxUSJ9fONCV95/N0qdrzx8pyu31q8h2MFQmnr4iWhBu3Hvoa780Gdjm6P/MM7l3FZsPwR7mHVctusoccXMFscTO7MEK1swae4mLGshxOwSE3ifwbKA4FyYHDgdM57n0XTxkTjyWMwqIuMGWnkzlUWTPgY9yMCSZLZAexrYwObH0GPvS8YHebMrQ9p8vpixYzz2pPAUp5GibJ0lzxZPPOLIZGXOwzEOTeBUsL+u7Zi9O2df20Ts5sBjwXPFejnYvDE+wDYOW5uFL0MZbmD0TR1wkN0qWcuB9M1o+6F/qxArl2PfshZdh4WfZY/N2dPoV4DETNMkg1JltqmMHcKane0Yv9x9MsY9W9/e7soHF6O1//y5A3OObaYxtIY9/d1vduU37zzRlS99Je77t69E//+HnnurK1txCpLYtOALhnFKagODWMYR31ptkj56dryRtCGZuXJM2d8wOD+0jGXs/CHE4+Wxe1nbnRwn17aUCdl2CDEYs4pZ1CQTGsa6GGNNklh3MQZrJvb3i1n+GVIOCSGEEEIIIYQQQpxh9OOQEEIIIYQQQgghxBnmVNjKmgAS0RXtJU1FpJ/ryJ6NbakNrMAOtxalVrrc556sGQ5pY2eV8mT1YGzYApfIyeu8xNY6P8muM0mxxw5oHUPqUSTz87TPXROFY9oZ3NL2ljS5clybifUpyVgCssjEotksdIdSyV6S7cIeE1fsxzLOZTqXG7PV/Qe1bd/afwosXte2uvLx5Xib3R7MpKcoBcZMEXvDKJ1ufuRGV57831di+U+iB+74x21bWdt/atOKB3M8tS1jfbQ2FXwhmfx5PI2WLMyshkzIlwZtU621i43DrF8oL+5BPds3S9Kckz+HkNrRWN/tvEZJlhJigUOrG9s3+NJsG8flGLbbruJ1hdkuBiH2hzY0zES224vX2OE0XtetxQ2PcQNSfWZZEN/5bCSWQYgNrBuv8Hnvchtb1rgSq9DJiUG5wWt/A8sWuKx0ue02ZVOzvtelSyI44s6yJREcx3vFDGUl53JhLuaYZIch7gk1aVN8kc+bkn1I6okXE5+5ljWFWcmQJE5LYjB7W8sKhfM4fzFaxu48Ep+99au7XXn/2djHxb3YvrWT9Ynd6tIPvh37uBOzmF3682hZexuymD1yPmaPZZnY4j7EMdn4zFpPs5UZX6A0Y2s+Wxm1vmWs6RiDYJySgJlXicXMGoVlK8PtcExXFjOrD+gds4thm8Tmj3Fkcn6srLcQo5G+6yQGxIzD9rb3MQYLi8cc/35K7tWFS3BIOSSEEEIIIYQQQghxhjkVyqGEkvUskx+64dftGt7gOBYpZH3aE3FsV/IDXaH6aFXwR006TuGbJet4pgsR223psWLb5ibiWXxyShqVLHroUUV5fp3NXMvpNcEkMI65eMc+2QcdMzMQ2ffKszBicpxtRY9VxxbBZgtI95L29sGo5wok3K52nNdLl+535Vv34611/HJcqHrw/K2F7ZIFDUGVdHVvvyu//O/GtwVX/ml8O/b6t+Ki1c+/EBdVrDML4jG1UNIGThZb8Dn2xxY9jG82xnDjYQ8ePBZjUK/s1McLbfGtVbK7PSzGubK3TPuTeGy7tuQGhG+NDqdxfuytFbbfnw4X2h7hAtPBfmuEC1Ij7BzX3SKFceKoCjqG/ZkmN5LYBtVCQxjnMHmQzMdDtRlZeBRVfeKUUp3417MJE9G4FDj2tmafLJYguOKNgnnQzj3Pe6uJJ84t2QdoQme0oip/1v7BqQBRcJCEZvNbRum15FFLURX2qhTElK4+PPVJm/k/jnkksRHUJ4twk/G7/smi0hiDpcpsey5MadPW1w51zeUn3+3Kt96IsVa4ttcV74KK6Oq5WVw1JTeSi1sxUcntH7rblXf+1fmuPP4sZDD5qagcwjhpa67kZgtPI0wtxOaY1PcW+xhPUf2DD/w+1IOiZ1qb9fg8nxonMekbvqcYm2AMiAt2p8qcxb4TVZKhkDnZhh0rnGMbAybzg/1iC1mzRCSsvv17ITnGGK/BVHGB6RhRpjFY2vfy5CfNBNTbEHe1arzsQvbdfIUQQgghhBBCCCHEmUU/DgkhhBBCCCGEEEKcYU6FrawKYEtytLfUY02vTMuJaiy62GFOZl1an2lLLVHWnE5sS5XO8/rkuLr6zi9Ul2zbHk8mZWXOIrY/djdZ6D5gG1Qo5myCDhthcnjQVtGzJZfmQpj4sWMRaF9949+udNHF3OKJjjErcq4S2TPKcNsDbcmcT/aHXSeyZ1wYMb+QYgtKVpk0GOdy5anbXfnma5e68u2XZ+X+8ze7ut1BXGwOQTnyMw9HO9o3fmy7Kz/6h/HCeuPhKKl+9uqs/36yAGKUwFIrmUfeDMVWvswWYUZ5cz+RFOMiy2CzAtkzWvkOJsP5/EAmC5+jvLfXoIwYJLs9XEgwjj+aLkqWJ+S9CcqbPZLmQxAKt3OckIUGcVHrQS9azBCUQ+PihTmOiaUO+5gU+iHabQ+nO11dshii+CsPi0c8sQw+W62YJSk7+i62ZM2/hg1ZlNcTSyAlFvSixZY3ta3Hmrdxu1W+nl4r5sLXDktfiZWMvR5fx4KXzKUgNsptF07GTFi//LxRWxeZFu1vfvwrYv1P7fyxzGKtisRyLUncVWPCjdgGrWePPh3jpLdeidav0ddjbPT287OT/shFsIPBOMcQD3z40etd+QufjHHX1T+Jz+pvfvHJrvzJ7/tmVx7Pn7l9I1FICGl8l8RdcCbGcIGOjThlNvdmYR/G8LzvN/H4YH/4x/8YYiash7wlYWJcRBi7YWySjIPxMhTR5o9zb+Mqj02slHaOOD/s7wj2fpfY+dkSCvZ4GItCfAdxFyYFYYttb5NYr+0H47tktQGyRrgHKYeEEEIIIYQQQgghzjD6cUgIIYQQQgghhBDiDHMqbGVNOGH1sXBkIOj687Ql6tRpz2jjyBRBx8d646c4Kqn1yKWDXW/atjwWtEDaQI9Z6TTuj0PSRtwqKcb+u2TRDjk7G6c9V5Xhajo5TNK1ZbEKwc6mlBwrliHMrnZh2LDSY7mGhDyxoWXsazgks5KxDYyDzqTLnmxlbC5JRrMu0wCxJSZSZ9vmhFLnx5650ZXf/PbVEEIIN79yNfb3kWgx2xtGKSvKi9EK9OEXXu/K117/QFcefiZKp/d/eiaZ3t2J0mmU96LUGUEr1wSl1mPIOjZdflHi56lc237c1HW0VmH2hdrIBDFNMlxAHz3bmobnZAuygbWZw0JI5dCtpPmIzTXY53vq0O+2ljQml0ZrXN3Ycu008wZa8Batids0y1ljltFWlmZ2W36fwCwczQRsm32oX8dHI943+HN2xe0YHstTQR/cL2NsV5p9zDP+qtuxuMKzqblvpLEHas/KNPXEqxj75GIcFrM49qehsU/BmLRNQd/U8uixj7E2yy1rnqxE1KLD7PptbERsZcy238tlug3crp8Dn/041cRiNrwYx3npXAghhNc/EJ9xzz0aYzR8Ph+N4zP2ez78Slf+8u3nuvKVfxvbf/WpR7ryRx5+ezYeHgeSARa/D1h/OIm2dJwXHuetfrXweS5GCyGEPsQbuxju9LANxCHz8zxx3KCZ5T9pE+w2bQyWLklgx0MerGscj1VqsydzJfa5HMz6XyfHFeJPcjPEeMxqk8RoSWbuWGzmx7NxPuKkHBJCCCGEEEIIIYQ4w+jHISGEEEIIIYQQQogzzKmwlYUQou3G83NVm9msMEMZk++iSsvMqlUgr106vGEho5YxJgdm8yb2J1MC7MgkkmTdqq2DsmSO1ucIOccNa2OpZ5PjsOEMGyE9nhalmUzMfV5Rsr/YNzk/q/aXkRTPxlnuB0yyUJBsMKvOxWMT82QiwzYoy2wlp2gZc00VpbREIv3YszP58puvx0wat75yJY4NFrOHdvfNPnb60UJ05Uff7MpH//jRrnztxcdCCCFc+OS3u7rt+tDsb5rIVKdmPWbKQIlt22ba5I8Vs1PdH0eL1/n+UVeeZK6xXpIJArKfQfYHlhEDywfNYkYxtMCh/DpU8ZjcG8ft8PrB7GdjOIatRBvrsO0WZCg7P4jnanc72sPO9w4W5jorL8qXUX48JHJpBPvbA5vaIdjX8Hi2tja0t3FJs2xlp5oqOCzbi1Wbcgu6Mo2V4IilYjbawkxknjFzn7O267yubfvM7W8IviCwgHW62EQsh9tVnsm0zUvtY0m90V8I+cyvpVYyh+2wa4rHATdbwzrpyQhb0gfOhcdys/q6l98utQjF+iFkN3vmyWgbe2N3Zr+fXNvr6r5xFO1gH/rA2+acMA547Hve6so3bz/WlQd/GO1r+z87y1jb78VnObOYWTFVCCFcGsbn/V4/xgFjw1rE7F4sNqHZwGBeB2BruzveMttb242T2NG+qWGMhW3auGU0iXPF8431xxPbzj8a2/vZWszYnPa24jF+9mKMxf/apZiFDjPMYtxl2e+nmBUtEPsYnAaM0zBD2Yis0dL2n3w+tb8npdZ+KYeEEEIIIYQQQgghzjD6cUgIIYQQQgghhBDiDHN6bGU5SbPRtoJlt5sk9dDy7ZbVW4uFF2fUKsnEkAzk2I5ZsjKSZaYiTuS4zEqWdLR8nGw2s5BVxi72mTuGRDJbnGnFkGAnSsFSqW/2WJVl3nCNn5W2r5i94yRGtgpw3KQr4pPzg7YubJPKh2FTI1uZxz6GNI5DbmU3QHlmTSxjPSJ1xvrdwUyS+vwzUbp8bSfayu68GLOYHb8Qb89PX7ptjvn43p2u/Jf/fsxW9tA/3wkhhPCNJx/q6j75+Gswp9jHADKXJdk0kmxcsD8w/vFcpnwAFisEjxtKaVEanEqKbYl4Kx+ewD0K+5hiH5NYPj6KxxCtTc0x7MU4lqvRrE3vuFqoCyEEUBSH+gjqwdWFbTBhWKsYrkfw3YHtxruxvzsvxGvsF37i97vybi/a7npJ1oy4n+0x3IYscBNytU/IeUUrGUreJ3icrT6n9ne3/T54M2WIU8KqzxlPf1jN4oMSKxurz11z+OzJWYJ83SQ8SEOlOeZ75eBcxxZPYtBNzH3lDGWIJzbzWCEN6+Kq1qxlc6lyMTLLDOuxuAHt/ZtlK0uyvhKLYBJLkW27PpLzYPeHbVgMhjHbU1dnsdRbgxj3HHz7fFf+xiTa8z/y/BtdGTOHfeB8zIR26/t34vj/MtrKvv4XT4cQQvihH/qqOSeWKW4fYqk//+JzXbl/B6z96BLvllmBKtu1lGRNTobHZFfoEt+Gv6fmfxNibNSD2CjpG+bXG0NMgG0wZpos1idx1BjOcVJvj7mN7bE8afuA624CMep2vA4+/8MPd+Uf/hsvdeU0kyvaAcNSPBazAezc/SYut3A4jdfE7eluV25taEksiGEh3mcLkwFKOSSEEEIIIYQQQghxhtGPQ0IIIYQQQgghhBBnmFNnK2NY8lm0kjHrUbKdRxadZB1YPqeN45GboiwPZYRE1lp1kkNPijKHlSyH47iiZJWeH9Z9bn8KJc3IpjKv5Mex0q8V9s2uZZbxwvoczwmzERZkD6GWESL7ZW2YTLlkfCZpxvpeZhw2Nt0H0sbKrDEEHe2zj8ZMGq8Noyz58Gux/NpHYh/PXY5ZFJDvffrVrvyXH3shhBDCzh9Fq9ntn4VMaNv3svtw7V7MqPbOP3uqK2/dAln48eKxSO7F5HpL5MB4HcK2Rztx48Or1ULbwT2YR3RbJSTyZpAPo7wZZcftHOtjsCtOFz9fHCjYbXCf5+PjfQbH3no5np+9N2P2lHd/PMrWHx9EeyFmtpjAwwqzabTUmBkFHiJYvz+N2Uj++OADXflL9x7vypi17pHtu7N/B3e7uuoATuAeSNIn75XXRTww2HO7/ZiFGJ7nbSZucNnzPc9ErLZiiTXs4uyxkI0r8LiSYTZht+Lnx97/nH3Pky3XNX6ONWK6bMxfmLnLtW02BsuPWZFrsiHZIFfdD57J1Y5fWst/aQaz0su3zVLGrGEeWJzW1j8FVv03no99370WY6avvRItZp94Ntry70Hmro89EjOXff4T0fJz9bOzP6+/+kK0J33kyvXsvF98K2Y/e+afYowTPerTQbLeQgjhhK2sjp9PhvbRT7MExjK2P7wMWcfmYUgfkt7Wh3ZMlcZ6aOtCe9ii3SuEaPOqj3CC7LuW8T9CfzhH3N/+/RiM9l8CG+HFD3bl0c9ANtwkSyzEYHCtWtlhk8xmcIDQmvaFw6e78mffjZbC1+5fWugvhBCubt8PIYRweRgzG/fvxbk2F2MsOG2XT3DefKUcEkIIIYQQQgghhDjD6MchIYQQQgghhBBCiDPMqbGVmbYxahVbbIwSuanjJ69VLURppi+7TUnXiTS3MBuIR2ptZ7OwJXoumXe2b9LYI1dmNjlrzOTzZvHzk21WVA+7MmmQMU37GNuOtikcP9sflJN9y4/DbFadFYjoxtdKzpGoZ5uFeTBVqceORvdnXo9Z0/p1lIkmUmfSh6dN/DzKSp+9Gq1Fr9Sx/t5L0WJ2/buih+rR3WjpQRn1B35gJoG+9Y+f7Ope/Hos/9j3xAwajJeuRWvTh/8ojnP4aLQ5jbfnkmaQMePeTvuxfgTZuPC7jtkxIBFEJ2MOIYRJmzUDujiOh4QlxEuzjoG1Kc06Bu3nUuf+AdShLHlRLbwwJsqY0T7XzOXVaFNrEskzkV87ruXasIqNIOOYJXMOIc2I8bf//Oe78uGt7a48uBAPUAMP1/HBrP96O/a9fR2y0D0c5z1uM8tt3LsrNoX9bDU+z22/pA+k1IZmd8ImA8UVM8Yy2wXeoyridEnGtL6+xEpGpkK3DewYtk09Vi5PbGa0L49XHbHMkvFC2FAmshDylnvHXDxWYvNgrXELRLtZVWD5T/pwPE/QxVPDkgNN08Zg+f6SzGUuK75VZ/fB4itm57fGx/gOrfrfgjZ3X40Wsy+/ES1mH38i2o/6YHf78Adj/bXXZtbs+jMxY+z4P4hLCLBn8uG70bK2/U70cB0+Ep/JRxfrcBKMtfD+g3HXFJPKYgwG3U1jSBAmcSrd93d0AeqSvyegiBleIWMrZi5jWV1bq1ofbGV4qCqScS2Jn5LsZtBPG4NNyDU7jDuPxxBtYGglw7hrEhbPyXGDdrQYDKK1/+tH0Ub4dz/z12EyccydS/E6GI9iny/djzF6y+6teIyPnzKs/c7bRvaxWVXV/1RV1dtVVX0R6q5UVfW7VVV9ff7v5Xl9VVXV/1BV1Teqqvq3VVV9v28aQgghhBACUQwmhBBCiPcKzzuVfxhC+Osn6n41hPB7TdO8EEL4vfn/hxDCT4cQXpj/90shhL+/mWkKIYQQQpw5/mFQDCaEEEKI94Csraxpmj+oqurZE9U/F0L49+bl3wgh/H4I4Vfm9f9LM9Me/puqqi5VVfV40zRvhAxd5ogS60yhDJRZuFBSVzLOytkXSJ9U/uyRrxZIp5kFg0mhafYhq29S78loQCmwZ62XMcWQ/jLptCeTCSPXhu0ElVQX2NfoAWrMIsuakfbfLHyM8u+qZ6cySbLW4TC5awwlxWD3ahxWtlyGMoRlx8A+UFI8BsvNoLYlw5a8mfX3wStRgvzicbxVv/HNmP3i3EejHvfydsxY8PjunRBCCN/+0atd3dU/iLLklz4Qpc4fufR2V57ikQMJcNOP+3Z8LpbbrBl4KaFNLBA7hiubEBzC+rBa2jb5msBpSy1juAHUgwS5Pl6sS2TMmOVsYn9nMINbYjGbZ0BLxjuMUuOmHw8QSsRRurzXizvUY56WOduo1Sb8r2/9aFc+vB59fH/rR/+4K39s5/Wu/Orxla78tfszmf0fvvx8V5fYb+CklEqaReS9isFyZOOdUnvSyhMh5Q1D96E07rNiPc8EHOObmWk954E8+pNqEvfl7Gv0g1LLf3vLoGngSH9GHwtzsT73ZPRlVi4auy/asOj5S2Km5f2d2NRuWtB2oT2JzVgW2JIxWTZaywZWkq3W274XFvsew8X+wSvvdOUvQ9x1/HbMRPbKuZjJ9YOXY/s2e1QIIbzxfbdCCCEMfidmmvrTL8dn5U984sWufIRBE8ZSQ8g8ZfnuQoyT0n2H+AHiEcwKht/vHiwLMMUMrxAz4dIBsdIcMrWJYSZZvJaS2CjW9+e2siQGI/FalWS9XbSPzfYBx5nM+4ixU+8eDo6eYRgTYq3tyo6r0CbYtt+u4gFEa9phE/19/9u1H4qdQEj3X/3473Tlx/oxs94roxjTf3V/Zkn75y99NHYxAGscTnBc9rBcdUHqR9tgY/5va3x7MoTwCrR7dV63QFVVv1RV1eeqqvrc+PC+1UQIIYQQQqRsNgbbVwwmhBBCiM1nK7N+mjJ/ym2a5tebpvlU0zSf6m/vbXgaQgghhBBnitVisF3FYEIIIYRYPVvZW61Uuaqqx0MIrS/h1RDC09DuqRDC6wtbOymxCJXKmJmjJp1AQR+euVhjOuSmSd/M4sVsYBnocSDjoJPBmosrgQPWe+ZqdEqtcY5jX7Stpz9P1oicFJ714bGS5eTapO+KyaiJlawi45u7A/aoRKJMrgSP7bCyJNo4JpEUe6xkvWQ/F2XH2Admx8CsGZ7xrXmw7fqgAf7IY9H69YX9KAT4+isxg8b3f/Dlrjzsz/S23/vMq13di0++0JX3PxMzJFz/qWhHe3Q7ZiVLv/ew/5j9oS2iTReeKq3tLIT0uCX2I7BQ4bYoaW6vpiRTEGawCFBG69exXZ+0GS2WWUaMJAsGypsndpsK5Mv10dxWNgL58QF63SIoIcfrYwI35gkcxMRuNj9aKGPG7BiYHe8vXovX0hPPR3n8T1/4y66M2Tku1VFh8pHtmVPp0a07Xd1vXvtr5rzD8XyuspVtis3HYBuIq7quPLEbiXdWzroVytqYbR1WrsTNyeZt7VvhOAmOeDW7z8laCnYQ5LHSFV0nheeebttWoVXVYzlibdpuXLFbpo8TbVicZHaBxz6xxeMFB23gvCWZy9o2riytsdyz+jg5F+s8sAxlUE4yjUE8aMVaJ9tbln5PhjKGFQOy7abwXP3wo9e78pfHMWa68XK0lV3ZifHTB87dittenW37+U+d6+qu/kkMcP6/XrQC/cTHvxLnugXBBGbgOsZYAuKDuT2rgQxhE8g4htm9G/z7DTOUBTw+9rlvYzMWRyFJIrbkUrZjJowpe9aKDNgHWsnQmoaZXxNbGVx7ra3sOA5SHbMYzKxOssAiexBs1saBwRhsGqKt7M0bMe3us8/HOP8TW1EAPCE3yScvzq63rQ/Fg/LbL/1wHBP/Vhm1MZjv4biqcuifhBA+PS9/OoTw21D/n80zZvxwCOHdTXjdhRBCCCFECEExmBBCCCEeAFnlUFVV/yjMFj58qKqqV0MIvxZC+DshhN+squoXQwjXQgg/P2/+OyGEnwkhfCOEsB9C+IXSCRW9ISJvJYoXis4ogJjSpBTXG6rM53QBadqPoVoo7YMcT7aAdRyI9FE6b+MtU6laiL6lrIkCx9oOqz1vnNhcVt2OqYWYAqg9Vo4+KtY3e8OHb5aMtzwNLM5c1fDLveO4pW+2bAWSNSXk/2/vzWMty67zvrXvffcNNXRVd1d3sUc1m2RLzUGUaNFiGCm2BsOSIpH+I39QMBAFNmAkEBI7yCATBBIEiIE4DuIkiONAsBxKiSDFViSFsSLGFEVLlCU2xbEHNtls9sTqsbqrq7uGN917T/6455z9rXfX984+772uevXu9wMaveu8ffbeZ9pn3Xu/by+mFkru16n416folyX2SxVTDrlycBNRtRD8nIJtrw7zrxsP3pc/6z3++N1t+bGX7mjLP3jnTDF0bCnvd/bDWUDw+u/f2Za//bm8SOKbUMfglyhUwLhffJpftlBdA3+HH3lsCgsaYhv4q9UguH9nf2jqwiZo3C2uiL8s4a9cRN2DCybi4o3tfu7Y4l++kvvVCu53py6abU+b8KvVNjYCv/AVzJG42CEybX/zmQTbzJZh+8lj+eAvXMrWIvx1DBVIWJ7UV2MFTvh+3o8i5lrFYHtSCfVVT++RfamFeiVsKKhT1OfuXe4HnrikmYvjzv1+JWqY7upzfe/WRs9YPFIGuW19f9ruFX+XHE+J6ijYVBKDseaI0ieCxVolKm0fd3Won3A/usC0hdv9uIJ3L5SHZD+WOATpisGWEqo64rjrgTuyquNbk6zYfuLbOZZ68W0nc/1aOfTD7/lOu+2h8Tvb8slvZHnPn7z0vtznVYgpt95oy2kC7+Qg6YVTAqHCetp9wd1HObxW8IcmTqLrwzulObSNsREmCwFVN6q3MZaK9kMVuyujigjUQj52rWOwLQgSp9g4iT8BVAWtDuIYrFF140LW25YvygjkTydPrLfl50FFtHF/Vhex5COT6GWA6rB9vIhLspX9PPnTTwR1KzP7xT2PRgghhBBCmJliMCGEEEJcOw56QWohhBBCCCGEEEIIcQOx1wWp3zKYZLaKtJAF1iK6gHNJ/30sTIwuuxuzaR0QByLvJvJitzh1Lwsgs0EVWJtK+zPb4UEh/aPkMlqIuUQizaxXfaDtFchkAOQxAAAgAElEQVS/2cnosUih222vMuoCKxfCZc+4b7y9bYNYvEr6Z3222wrqUqkzPByRtLPP4tU7uWUlL4D4wPdmG9gTT2R585+98Q4zM7vz7gvttlth4cSrP5kXWhz/yW1teePX8qKLWTi9wyq1HTwnsGniNOS5iHYznOvcIU/jZ7NZb3lA7k02dzI5MlrPkEaa7VS8OCY8dLYYolvMOrab5Y14ELkue6RRjoz32MB2l9bjfihR/uGzz7bl3/vy+9vyd7Zub8vvWnmpLW+hdr3m6hRWvzwgSbO49oSupD7WohIO4l1ZQsE8euC3Z18L1R7b6E6iQd6rbL+CPisWP/WB7dZhJWN1/fby2NHVZ+117Wd06g7joIrYpYvawM00Hqzm2kOm8C4dDsn9wRbVDuowKxmDJwKJrfh96mLctwQWMxYPdvYDF38MyyNg3IWJPh59Idv5L53Pi09/+bWZTTstwXv6pmxDGh/PH79PPZn7dxZ1sJ3zWGZW9u6xFNb1N18uungM24alBawZOiYTCaz/ZjseR2Ltx35cgpJ6+QF3HvDhQGeps+1jnXjftk4iD6HF/SCYoGNIKjWxGcZoI7Dz4/YPnM330ue+/J62jDHYfcs5XneW/7qdTcjk4j7exodQhJRDQgghhBBCCCGEEAuMvhwSQgghhBBCCCGEWGAOha0sTc2WrtbSuCXI2OIU7CAjbOowyxaxkjEJHLey7TpsDlOpdXwVVyT7LbC4sURfYXuEosxqgUKRCjb3IeEOzxuTDjPJIx0LkSMH26jkea8ZS1jmLpZ9jNmwYDuqL8PsXq4uSE+7MqCYl+NWzA64S987t6PUd4rZzbqyYxRkC2OZMpAuaxf7Ox47Zspg5wfrTOrjZNkx+nLvidfb8qn35awHj708s4e98NSZdtuL25h6As7VbXksm7fmKmsv5/o3PwqdBnJkJ+/F+wplxCS7IW6egEPJWb/qJn0WDigHdWf9o0Q67h9phj5w1jDSJ7HDOQl0kHnDAgm1mVmCDCSj9dzRk1ey7e/BtWwjRElzlM2CZjODCfVHbnqiLf+eZVvZ517/vrb8jrM5SwtmPWusahe2cpYzvJMnkWVXTrNDSZqYjS7NyqBQtwrLQcwUbZs1SLZjFRbLRPMEcUaw11DFgsOg/75x3l7jwiIzljtvZNxd2YdK0usye24vGzn2ufc6Lq7qiMH89gIrWU/7XAux0ZXENV0ZyoraKCFok/WDVjJ8PQ0GJePav5+0KrD8o0V/0sOK35elILsZywbFbGo3L+dY60fve6otP3UpB1AvXJhlnpqM563YZmbjd19py1d+IAcwm8/kjGc3P452IbRhwefkYH51Fn7M6or3gVsWhH0WCPokti66/Aj0j+NCokvrLomLwbqtX3SpgmY3jLvwxp/kAa5ezPt95c172/JP3vyNXB32jSxmGINhZjGs+2HwFP5hendb/uyFB9vyv3f2tdwOnOhRbRw7d/V07hSv6wTuk6XoZcqRckgIIYQQQgghhBBigdGXQ0IIIYQQQgghhBALzKGwlQ0mla1enMm5UC7nLGbwNdZkebZ9OkqwLf99OsIytpe3O2FVl9y0r3wWq6OiMJK7Mkkvo8QSFsmRC2TEKRpfYf9x1gzShqtTkOmgy0q3n356ZrPLAyHbS75uDTWUTFodby+ykgUZOZi8lw61s4a1FyU5iXK3XBkZDjG7FxlLj0wZaCVDVSmzmLl+mjENcEzd541Z3FjWjIYl8F6VZO9gEuhTo422/CP3zKTOV+5Y6RwrsjLMGuB/9dUsa3UyXJdlop6Ll/Amg7GijBhtd3h94Ipi/UmgxnbtVaSMbiaQNPtsH1iuwu3tNpJhww8MpclddowUltM4d3TiiYtt+aFH3tmWP/SjWcJ+/3K2ew3JPdGA2cow28Wdo2xLPHH2clv+8vP3tOWPnMkyd5RDvzaeSZn/4Cs5w8balXw8Y7S/NBf8YJwB4oBJE7PVC7N7KMocY+af2SaucTHVEMsQd8F2jM2oZW0YbHf2tWr+78ZjOhfjRFaFkhisbzxUsm/wd9c/GUzFbOetJza2XdBjw/gB67usk0Ec0semtVsd1k6fuaLIVhacFxdMFHTI6rgYbP5chXGZGQ3AB4NpQZ29Taa4X982mpGw2MTZxEjbbF8XJ9X/jyxgu7U3IPFyH1ifSxB8bFdor87133P6pbkyi9cww9QKBCq/d/W9bXk6ypNh2s7toF0+eq5dxjG0mEFlnJddHYy78NaL4hryrGHMNCDxU0k81rYBGXIPxF3oPJfwEtncaos3fSPHYJ9/+Hvb8gd+5Lm2fN/w1TzGjtxgyyn21N0FMdixs9lq+KXvYgyWs+Dh/fTo+qzOw198R7ttZT0f2/YEjq1n6jIph4QQQgghhBBCCCEWGH05JIQQQgghhBBCCLHAHApbmZmFWSlwJXSUDw9qeVu1EdvOmCwaJdBog3CWtGWoP/L/N9uh4i3JjIWQbD0NNOMa1i3IKhXKUJn8r0B2zFS6VVRpH183smwnTpXZbC+x9zGrVoEcusmggZmXuq7f/Fg6+md/RzvGEOsQKxmTBjcqc5KpwlXFtsl2Vx+zdNX9e+uVwd9jexbCrHHDQOJbMj4Gtpc6LFzMSlaSNSMaN+KsVLB9DFnbVsHihfVRxoxSbJQ9N5k/ji9txuPryAwSDLglwbzc3HrMguDlwlgn7sZZuDrsWdi2k0IXyGdp1rF2fsFjKLjHSJ1et+d2vt7VybW2fOLJ/OL60/dm+fB9Z7OkednAmhicgAncZShLxv1+9O5sWfv0Qzlz2RMbd7TlO0ZZav1f//HPmZnZ8Wfz+MZ52G4eG6w36a32qPUXbynJwIWM6ndmX0h8287tNDbDeMxZydJcHdzPLTfQx5o2V652PYYiyxjSw2ZVlBWsxP7fI9tqia2rV7ayntBsr4y9ThUk01jYdkkfLg6IXy4VaSjKIuYrMJsaveC5SjCXskxgfD+0gcVxBRLFPiV9srirq23WRkmW2ih71FsB9o9WMXYOu6jQCmSxlcyVq6Ym3KcsSyyckwTzrLN7TbomL7KdfD7yn2XhupGYqZn/B9sY4O0+pN3onHZwmYQJfFZZyS+RY8/kLwG+8N772/I9t11oyxhXddn8kWODHKN/6K5n2/LnHsr2wic3z7blEVzcX/nsj5mZ2dr5fJInEINhtrKly40XvOy+lHJICCGEEEIIIYQQYoHRl0NCCCGEEEIIIYQQC8zhsZU18kuQ86NU01kIBvN1nReFZaIBqd0wL0puS+vY9ryVzWdQg7okCwfKnruyc6Ccmn1Vh/1461m8grs7huH8313b0GdiK9ZjffxHh2Q5zJq2k4IMGm6M02B8PTNysP6d7DkF28h+fjuReVdBGa04eK6wTLNCsP6DflB2W6CjHhRkiIj3K5c/m+1yDLgvlJssEpNp/KCw7BijYXw8KAdGm1UjBy6RP6N8lB1nJJcekBuSZcrA+tOSa1jXL7HALQ3iLAoMlymjvocjmfNO3OmBex/twyxzWdXxM4azwpTYRDrmCfcY4yVx2Y7wmYUGiRUn7BLfd9vbbfnK/Te15a1Tuc6Xn7m3Lf/MmUfa8m1Lb7bljarJUAeWQpgwMWvGBrx0fuBEzsLxacu2ss+fz9nSnnj2bW15cHXW5sb3X839vLiauxznI157ZdbPIB+iOERUBvdq33do8PfkbJlx9YS3Z4edqYKXBbWMYTzGMqeN5rfzjGvQHtZZmo8RzbrtZn7+656XSyx73Y3EbfB+CuKdrv5ZTNW3va53V8kSAuz4O47BxSY9s5ZGFFyGHQNAq1RcZUCyw0Z/R6Y9w7vQrUiyktFlCIqysO5uWSuJZViW2K4YjLW95KxCsRUf+8Fsr02dYcG4lyFbWcJ4FeOHMVjM8Hav4ye0aVUkYMLPpgNyVzoLL9SImnSHhvFaSWxPYqPmMzuz/tPlBgrmt7aID9UEB547ffOdOUvrNsRgf/7U97Tln7n14bZ8E1y37fqFgc8Ghj6YPXYCL5r3nTzXlj+XchbYT7/w7rb8wnduyw3VS4ZsvD/HYOkc+MogBls939j1rAgph4QQQgghhBBCCCEWGH05JIQQQgghhBBCCLHAHB5bWa2+QguXs5h1eVCYqpR9/cUsaUDO3gHyQyadA2saDsZl3giyZlDpMpFCTzGzGtRhWTumzVhIxg43aiLXdnRJ93pm3qDtoZUMbWPD+TZcEyUy5j5fifbWAxMw61gzeCYtHwR1zTqzkpntkPU22/tmTSjIlOG6D5p3cmAybmZfc9LtaD+SnQKTH6CVjEmT2VlprF1U/twzdUIkdR4Qr0WJ5BolyLzPad1ffLOz/kcptpg5m4izXFVz22jWOpwDhthefL+hLalph9lJLZgjzPyt7G43sm9jcStJNtGVTc1sx+PTnAC8UbEfkDdvncjXrXrXlbY8fPp4W37kwbvb8odPPtmWG8nyFDOUQUcTuPMxo8vpYe5ncEv2/Dz7r+9py6twTX72r/2ZmZn91lf+QrstjeDYIFNGa+Pu9+iIa0SyfK9SBzY+Y7hjSeMBPqNZCrdH02EizzFud9J5F+vF/edxYEfx9umIxHQ0lgv+Dm1Ml6u5ujvH5/vBCQvrNAGrxbC4q2eME2Zy7Qu1e12jCSK0MPUcR5F9rXmo4pua27CgabzcBRauaD+fPRZjM7DMuf5JzFSXS6xkRVldO85FkZWswKJf0k4Es/CPCgKEyE7GlgdwcRd5rJi1Ki+dAjuiBW0wgHLcHsKyi7X2WPb5seBznVvmJYi7XJ2SR5BlkiXxavM9QoJYK5FsZZunIP58e46Nlr6dY7DH3ptjsL9w/Om23Fj3Waw1gZOIS1PcMryc+7w5r33z+h9lO/9ydu7bz/1cHYN94YPttgG8TzAGK/jY4JBySAghhBBCCCGEEGKB0ZdDQgghhBBCCCGEEAvM4bCVTc2Gm7UNAlZTr5Y6ZKtOqUksaMRu5ixZHV+RMZlzkSwPCFdfBzWhX0W8QApNtnt5c5rbhhY0n2UtLrvsHCQjiEXZzdjlK/lKEu0lTuY43zbKZ2nbJRk0cN/mWhXJ5slNhvLvaXATuXGjvBbG6rS+ByC59hpL6LOffSwFcmC0EzErGcIyfzBJc1Pf/333Me2FZt++UmTsk2UdayxhrG3MfIFt4PYteDiZxayxk7FMZENnMwL7UckxR/LmQXzTOrU0zhFOww/XE2xLoWuBSGMr8sy4DJXbkS/GbPkSSOuDN6KTQhNZtLe3lN83iaSO2TqRD+iH7vluW/7KE9/Xlr/2epY0f/BEljQ3MuUB5MdAixlaDTfIBLeykve95asrbXn5F19sy59/6R1mZjY6n18i45MgZ9/M/Vy5p36/gy1aHB4q2/E+r2H3ePh31ja1le1u5y+BvM52VOpqhGyesjIZYJdlzdn2EymT9si+XfY1ZkfrXQdtwM11o/aS2PZGYfWjG4EG41ZQnr9Z0Kqflvql8XLxENm3XW2BZYAtsU2R2LAPzGK21+xr+AjARylq+S+x84cZxUqyiJFzy7KVLRHrfFefE9IelrFOYz2jSwjsOooa8mHAxyHB5wm8rrgsCrHyOtshxljV7vcEyyiL75LhFsZ3sC/EY8MtiEeXZw3RuMtlIMdnOo7vOrOVYQwG52QLbGXvv+v5tvzIY9/blr92IcdgP3js2XwM9QBW8d6AO38CH5ivTnN8xTLbnXk0n7jVv/NCW/70sw+amdnyhdze9kk43xv5oly+t18MJuWQEEIIIYQQQgghxAJzKJRDg62xrTx7wczMqtX8LVq1moc3Xcnl7ROzMi7ajGW/wmiKtjrcDwrB12Xs1yn6RbtTe5A+628/p8N+PwXQsbBfuZpvVnsuHMkWQ8Q60cKMTvnFFmgEtdIEF89yiytiO/O/ZrlFGdkvkwULOO9Z3cQuRMki0119Y5UCBc6g4xcvd7hM+lawgDRTNEWKnoL13h3sFyz2609XGwj71Yr9+tNuIzPGkCh63AKIsO8YHqBx/YvBqpcJhuPgv3xh/7ntEfyME/1aNbT4PsHFEKfuwQ+r+1/Om4s7iZ9HfI5x0UEcScniz5GqYe21PO7hRi5v3pwnmNGVvH30Zl7gL8GCjeMT+aeUrVNLc2PCHxrDhRN3lN3B4YPQLrTY/UxPVvJ5u+/Ya235z27Lg3nqudvb8pt3rbXlY4O8mHTDFkzGqCLC7U9u5EUPh//6VFu+fEdu5+LTZ9vyYK1e+Pq2fC+njdze6BJMou+cLeiYRv1+nRfXhlTlX3grJ8fMxUi1XKLW6UwmYtYdM9HgrWedHtBYryS+C8IDp6IsWMzeNxiPKzzPg7iuu64kQQmL3yKl0XSJzfm77zfbHiuUXJyU5uvS2I0pjtz12T14r6bxxUxMucMWk3b7Tuf32wfTaXwCmpjNx2A9leFQpo9Sq6rubI62zeiK9fomAulDiUKJLUI9IHWYYiiCxV3uWXcqGdx59r+EiZDghnNzDQniB2xOwy7rz6pL6/m41l7eyMNYyg/h5Fj+wIdx1+ByLiPbZ47ldurPlS4Gw7hrjIOKVUSpU2XVfS+hq+btx3MM9qUzeSJ/4tkcM125M393cXp4da69bZClu3gMJsaHLt3flm/6Qo7pLt2dx/vct+9sy4Pjs9hrejYriwZX4hhs+kC/GEzKISGEEEIIIYQQQogFRl8OCSGEEEIIIYQQQiwwh8JWZtOppSvrZmaWNsFucREWrBrloS4N6++0VrIdYLqWNWATsKNNVkG+tQKyNyhPycLXraSPLqiYy05BSGxY0UKGdFHrgj59Q2RzsFYZ1XgSaWG4kLbFx8MW43bScu9zCutPyeK1jT2Ny5XjMkqgqxHZTtppYVJopseNFqHeWb/ZVCBXdvVBB4py6GjRaCopJlYytvA0HW9QdzqFRY7RbkUta/F2Z/2q22Fy6ZLFlLEG2sOwzaY8JQ9KIvJnlAaPYRJYCuTFU/ogZ5xNLTErW5a44kKLzbjYwtPI5gQtR3BumczeWaVm/3MyZnSKbuNiz3BPMAk0DBFP27CRTsOcg1aywVYur56fhtvRPrZ8YT33AxYzXCQx+jtVtqOkuWshRWY7g4PH+WUFVnE8c8/Ftnzx0Vvb8nc2ssXs1uOXzczLmLehwQ2YAK/AYoi/+v/8eFuevi2P65ZH81hGr+U2/9KPfcPMzP7kuSyF3rxyvC0PtvN1ve30JTMze3G4+2Kg4vow2Jra8XMzi0C1DHHSCOIk2N5I/70Nad5mPiuTdyyJCcKpscC+VbQ4dVAfx0RfISW+mAK7WZ/2mH2sE4zXsImCR2/Yo8+KeIvcuAssbiyWy7YyC+vS2A3bQMvcCOo3++KYiH3NLU8AfeIi1Cmww806rQcA7/KhW9y72wZWEoNFddh+FYlf2MLOUQIQ1jbGJkMSm+Gizc5KhtvDgcT9oNVuSKxcY4hHm3sCY5BpFY8V+9mEtTHwncwWEW7sQiyO3Jzk9taG+XOvtzcSq1QQb2AoMbA4tp3ifUqssngK8Zo0Mc5gC587XDYA7vELYDcb5Yd2fHO2Si29wWKwekFqXEh7gjEYnhMYN9RxlwRtdc3i08xZBQ8VHvrJYT6etbsut+Xtb9/Ulp/evK0tP7g2WzR6exLHXVsQm724dbot/8HvfrAtj+/J477167k8upjb/NEfmMVgn38mx2DTN7NFD+f822+exWAvFcZgUg4JIYQQQgghhBBCLDD6ckgIIYQQQgghhBBigTkctjJLZsMmDRXR9W5nGV8ap7ltw6z0suEA5PlLoEPF7WvZYjABS9p0BSwWtYx6gjLrFZTDxjLqKbFKFWXtaNiPjDnYnoiasG+fnXY37IelNCByRux/QJRvrUyuxOrHxhJl+Ni5Pfja1MmbWXYOfKJQBhtmXMO2Y8uaa3sZpKLMhuYk1bWtDOTPg6X46ldof3ESaGgOs3SBTDfb13Ld4XAa7oeU3OKRfHlYkMENYVkwWHazPkym5Pt1OOZx8B38oMp/9/axWNKMF3bq6gzC8qB+UDYh5cKAZDnbxoxnqCmelEwIddtTvDed3j2X4R5zVjKUTmNmMOwmOM1bp/PDNtjKNypmFNs+BXZjtBIvg/1pC+TITZFJl0kWDAfWH8dy6Dwo/HvsB3lu/Za2fOuxK235yqUzbflzL7yrLa+fnR3zGCaS9ckoLH/xSw+05TNP5D4vfQ9YFzfyuLZP5fLjr88yl41G+T28CfPLxj05M8kHznzXzMy+vRRnKxHXl7Q1ttF3X539YwgPG7wAXCxV2/ynJKPsdBniKLCeOWt/YFOb1c/dNM+9syF1vKd31nGQ+KCTkliro8uqZL8Sy39J/a66JVN717nt+fpkGXVp4qBmO+0nvido/cgyUhBHMpsazb4W1YFt2yTuoxY3Vh/LTUyEywMQ+5qzbrvtsf0/KqMFDcs+XsN4BOxr1CY3b+1ymVnhBOH2IYmfEKy/PBzvWhftZlgHrWRuuQNXH+K++v3r7GuYYQ4z0OIHnpK4NMiC6hKRYV2MtTDrF4ZmMOdiIt1oqY3pct5x6+b8OdpZ8iE2wjkf4z60KTubXF1mGWB95kh8BuCAtvP5TNP5zx9uaYQJ+XwCVZ5dzxb+m45li9mlizmr6/937sG2fP72E2ZmtgUnFuOuy9vZzv/En97Xlm95Jo/l0r2wNMVmHIM9dmGWLW00yse7DvbZjXvnY7Anl+JMyTuRckgIIYQQQgghhBBigdGXQ0IIIYQQQgghhBALzOGwlaVkthSkhwqkc2aW5WNM1j8FSdk49ieljc3c3EX0M2HGmMH8NpBOVytgWTiWt49X561pZt6S1kitp85CFOsCmbyXy2fJ9ujvbMX6Ark0s3DlCsTCRI6zF0TmTTOWlNTHKtNgI0lI4YY1hjpe2xmPq/1zx9/NzH2Xy+TQUbYPkj1vSrNz5PKYZXBDe1Zrk4NtaF9z/RNZtHNQ7S6Nxm0DJ4sG6TLY2pzFDaW8sGo/WtWaOpjFi8miXf/YNsqHbb7OIMEcMUH5dSxxZRLoCdw3Y7SVTebrszZwvzFKpLfwZoFxOffTfJsucwtOv3jpYXxoOwHltnNZRdkDvUQZhjeKH45E+sQbtLGBeQsEWsy6pc6uTlA/bU/ivwPD/HpqpcNmZttwr2CdC9/MsuevLc1OImaFeXN9tS1feS5n2Lj7D/NBvPZueLehg+hSHu/o9Vzn5VOzdlbXsnR5sJ77fOeDL7bl+1ZnlqVlvMDiEFGZTerrjPckxE9p0+YYwjPoHtEe1jQzs2qEMdN8Ge3+3h4Kc8BwPr4yM5u67KTzSwH0zgrW141cn05vc+9ur28MlveL7bu96YiZ6PD2YTeLrgWLhxIZX1F82xTwdRu/EpzVmTh//b+6bI/u72QJChIz0Xs1Olcsgxv2gzEbbJ+wfVv7WtwGXeKA1GHWt3Y5DGdpi2MjzP42cBY3C7c38ZvbFsR/O8e04uLFeCxoX2v2ZcsGYAa1VchWZlfyvJgmGBBhHGJQnv3DWfXxs/EYxwTzH8yXeKnckUXPAXkefUwVf8bDcWH/WKfNekYywFpw7LPxxbGZRXW24/OK5aWcTM2+/uqdbfnS1RxLrVzNdV7/Zrb/P1rHYBvb+Vpehv2qp/OyBnf+SR7L+ffnlxU+y8tv5DrLr+Zg9/zJk7NxrOb7Z7ieL9o73nuuLd+3+tqsbmEMJuWQEEIIIYQQQgghxAKjL4eEEEIIIYQQQgghFpjDYSsz8xrAaJvT0dXbnbQRrAHTWCZWVJ4Eq5yjXG8L5H+Xsu5sCG2MUDqNkuqVeRk1ZkqbUDsaZvhIYTnMkGDWKc1lXw8WSXm79mOy3xIrWZdkuKSNAnkxnitqSYuaJnUTkSnvNTFWkU3OyPZAzo5jGk7i+8cPAJobxCeulRXTm4aUcajoSei6Duh2IuOekIxmLgsJ9Okl/82Jgx3x+WLSaewS+4+Ogfw9RRlIdrTtpNhowYPmm8wjLOtIlAVuJ2vn8URD2y7rWLDjFOZLtNSh3QHk9Jgdg0qap8F+LEMawOTIgyA7BtbHrB5Mzm0kcxmTN6f63YLZM9D2jE2vnc91Xn34ttwc2DVPgqR59GY+WedenMmbq6v5Bh9dzOW7v5j7fOUD+Z20eUe+EHd+BiTv5/N77tZHTuRxDdfMzOzqnXBNYE55z6lsKxvVmvR9mFzE9SDI9GJm2Wo/mcxvM3N2NGdN2yLPKTy/A7Sk1dsxvnP9wHa0plXLkDkNty+hJW0+G+0UrP8Tl0EN7Ri5e5dFDTPW4vus01oE24lDpyR+SDTtVwCJCWg/LB7r088BUzTWrjZY3MMsgAX79oqRCf49k+LtwXVzTRM7Gs3iy9p2xxl0VBDzl2QP9Ja4+ZM4Ic+Jt8CRkx9Z8LAuW/oAGXbXj2KzRCxrmC13uJTnyJXzsJwBs6BP58vuMuBn1gkZt4tr4guO56i1gbm0aMHn8p1tY3yF1btiMMwiNo3b8J/dsQ2IsVw8NvX/N/PvMOjn+Atguf9qzgyLJ3ppPddffiOftxfOzWKwBBbBlQv572f/PMdaL34419m6JVu+7v1/cz/Lr+Zg78zDuf75pZlVbeMOyGwGhxvHYGUTpJRDQgghhBBCCCGEEAuMvhwSQgghhBBCCCGEWGAOia2syjIvZyUrKEetoa2rJFtDFcjOAC9vIzJrlL3hdpftI2d1acblMnzgSvJ4DFBm0ukJZvNAe1ptScMMPiijnmCWH8zwgdJpLDNbUJcNCzNSsLuuQO0WJXNyu5XY2pjENtqX1D1oOjO/FeLOc/DVL+2npxw4lO+WnHvXBqnfsatruqftjp5bl5UhBePD5zvOTOLKYK2qok5ZlhK0M7GMJaCCdbYyyMqWmp3RygXlAZNfA0Psh0maa6lxkQWCZTnDrCJgMfOy7/lr4u5lknaQ2b265M3cmoz7wfkm9cPsZsz+AdvXzucTceKZPEmPj0pMaZYAACAASURBVMPcvZZ3rRNR1HWW67/n8S1dzSfr8h3wfnjgSlu+6Ys5g8bJp97I7Z1cacsrF/NNsXxxZoneWM5/P/nghbb8wRNPt+Vjg1mqq+WkbGU3FGjhimKpYZBGsJQelv/E4i7AjQ7GPSQ2tNayBlnTaKyF2dQ6bGpmPsaqmsy0LgZDy1ruHjOuubnOZQq1sE67b4GFB2EZsPpY4Vks0TsTnBvY/G4l9qSojZ11WhtWSaxFjqfXvj1/hu99nPVgSs43e4fSfiLnGduPtY32pJ59hvsFmc12xS0nENxYrKOCOCkRu35rKyN1cZ7DjLpupmPZuLrGxDIWYjxE4uUBjKCCOLaxbTkrrbvG0H9JpjEXdwWxFLOSscy5zipG3ieTJhstOZdgMXMx2HMYg+WD3s4hk62+mtvcPjGLjSarcI03ct037oPlZO7PlrGb/zgHdceeeT33eRoypL0BFsTX62yeo9ze8QfzfhiDrdbBdWkMJuWQEEIIIYQQQgghxAKjL4eEEEIIIYQQQgghFphDYitLXr7cRZRFbDIvHdtZx63MX2I3a/bDTGjuD92rwNOV3TtI2yD9gnLKiWPcuLD7UXRscH5d1jSUhYNEerIKlrU1sKxB5rRpkM0DbWqY7QOlrAMjElMnlya2mzRfN/x7Ib3scHu1pvnqnX3uNbPZTppx0UwVfaXLQdtmcG0LrGSOnvXDp4e1USINZhLo9h4r8LrR+7CHN7Ak+xnz7JHsF43cllnj2FTkMpqhvplZpeo+fca+Agk5ZjTD6+M01bvPnexy08vWYSVz/TArWUnmsig7hoHsucCmvH0yz7lX7s7bt27N74Ll13Kd48/DGO+dWcVuPZF1zNNHbm3LbzwAUucnj7XlWx/ZzP2DjHnzNIQJcJ6HtUt65bV8k737h19uy6vgEbx9eMnMzJYSeBXF4SEls+XR/HZmrzyoPku3l9jXXNYZ8oxN521lLgMtDoN0M8TxsSxqGHc2ddCytpLP9RRirSksDzBFy9oojrucPa3e7pcEgLoj3A7lQVzf25qhTqflh5QJXVaoksy5FckSy2j3LYhBXAxYcBt2Wrv6xnd909a1dUmfBY4s+qSnjgoFcXnR4TR1DigW7l6foGMcu+CsV9hOc9+gpW5a8kAEbZjtiDGCuIFYpZKLcyOPoP+Hcx0NSLmpi/9gtrc+VjKznH2NWb8KrGR+e/AuwEy3JAbbOpXn5Uv35e3bp/MJWn0p1zmWQx9buv/y7O+QhW71a6fa8sUHc93lb0AM9lj+gL99Jm/fghgMr2Ht1neZ0B48kwcygMnrluFsTMNobZYAKYeEEEIIIYQQQgghFhh9OSSEEEIIIYQQQgixwBwSW1nVna0ssGpVQeaJnTjpWondLGqDydvoDuQYeljZKExayKxsDdMsnY6yppn1tKmZeatak/EDpNAoUZ5iZrVjUF4FKxta1kC+G0qn4c51GTtGscRzSmTUjg5Jc1HmjQ75tasTu4No/66JPtJcNozIGrZbJTauHo/HfrKXtKcN+9vHuKnUuZEB9zxGzK6VoPEqyqxR4kUsyJRBpfBprjU3pqIDYurTaTDGvnMbuW6J2LOq8IDCIrWBUXtYJGkm2dlcXSZjZhazZr5m9hw4hxun84S1fQraXsnl0eU8CW5lxbIdX5vN7xcfzVaysxcgc9nD+eTf9Gy2nqWtXGfrdPYHD7fgOsB1W35jtn399rztzMrltvza+ERbntQ7blegvRaHh5Ri6xZuiu7bgixifr5I8XaWrax97rufGVvCoKCPrZfEaB1x4RzOvgZzQBN6QXvpUs5Q46ZCNo+iJQ0z2UKmtaqJxzDjGWZZW8G4C7OvQdwFGWsrkkVt2mZfY3+H7SQbros3iFUrWkLAWeCwct/QusO2VGJN3lf/USPOmo3bMZZg7dR/oIFkwVD6SAWKYmFiwSbtYP8HnRk4jMF8cBSOiUIGmHoMvCIXk7p+iKV9z8tQsHCQZlutd+iwmpmZj41I28xu1taZkHHg+MbMPsys/dE7DLbBfLpxcz648Uloe5jrL1/KmzduySd0NJpZz7a/enO7be1CtqONvpLbPvlUjplwfFuncxbY4QbGYND/m7N2rt6Rx4Ex2MVJTqc2bWOwF6wEKYeEEEIIIYQQQgghFhh9OSSEEEIIIYQQQgixwBwSW5llaZfLkLC7JavEJlZiPevKKOYyODCYLJrUaeVjJfJnch7wOBOTaDf1MZMG6TNcAX+XPjE7SJrMZ6HBszaANpZcljdyfVBGPUJJ9cD938xn9UC5tJdO4z2Ru6Fy6CDzx2Qlllz79uLDiSS7Jfa2oiwPB2HrKrHDYfVIHcraLsiaUcJBZXFr8NLtqEJBI/ioTfE56ZB3s2xqJRk0mLY9mMbYlIeSZpq5DB9pzAwZdE8zd5GDqCbBHLVzMC4rUL2JWXydJB8lxWRcTtI8L0f2dmQiUWbZOcZw4qKTyyxrS2gRyVWGV/I/hhfyBHPbV7M9+JUPZP/GlcdnUub7f/dKu21wNdetwOKLsuzxidzGYBuOMycxs/Hx3H/z/Nz07tfabaeWcraNCyBp/s7GzHt2dfqUiUNIZeGk4TO8BjHEMH6Jpch6uqNtP+/1sJWxOWDAXkCEqJ0SK1lJBloXJ9UPClogMO4p6RPmlITzy0Z+rlPTDompBtAPDfwLlhBoxssy3TorG1rWlknW22WI3zqWEMB4zcVdJB5zSxugfa3u0tnMWSYyEhtVxF7jtje3b9/YBbOQFtmcOv7e16bVpz0WOxal7oXNHWP0MQaJtdhHPIzNoo5KxkrqY7ZVjKtS3U7l4kIL604hi6KLS9nn4YIYqwXtWZgpuuBzbRV97i6JrwKr/q7tBBZ9ZxnDebYg22vqE4MhA5w8cnH0Zr4Qo0sYg2Vb/ksfyhlet782i8Hu+50LeUzbeUw4R2IcOTmZrWSDMZyTzWxJ2z4B8Vtd5ab35BjsxDAHbK9un2zL3x6fNTOzq5MnrQQph4QQQgghhBBCCCEWmMOhHKoqs3H9zRj+QmHw7R9ub36tYotQOxVNrC5y3ZNfv8L67JftkkUN8Re5SKVToD5iC2zjMUS/aPddvLsi46bHH4y3SIlEVr1N2/mb0pR/jM7jgvthCO2NhsGvm7uNFRfVdsqlQKEUKJjMzCZr8IvYMv4iltubBMol/BUh+rvZzl/EyC8QZHHupkzXt6O/lMX3XpfqqM9C3/ONF+yb5reV/GrkxtXrF6+Cn9sK2g63M/VPwTnkAkj4pSFQLkW/au1WB2+civ1qVf+64xaz38rPLr35ChSi+KtzuwNOY7CA8mAD5gtUMeL0z+bXrrmYwRZJhLnLES3465rLbdz2hVfb8i2Pr0Hb8bEdezmvDnv867P+8Zxsnckqnu2TeRxLV3J7A1wAHOYatnj31slZnXedzr+ObcAqtaOU2374jbvMzOzqBFaoFYeIKvwVNhH1YFdSEPerdEn8wGh+RcaYrmuR7J3bS9Q9Yd8YJ/RUFLkYsJGpMNVjQdtDcg57LN7tfokv6ROvp5svZ/8bbOYkJ+y6olopjOF3bHf3Tb0d3z04F7l3EsZGLikKxm/zC297ZRPEa6SMCnSvNIcyLrw99P83i2O0+XIcD3qFEpwL2yMdMZ3ZLmqpdkyxyqks4QnUGQZHwWIjFsexpCBdcSL7Ox4EjM89PrDvIDoGjMsKFrKmCir3DM4rMzE2cHGC7yg359SAUAefx6WgDPPiYAv6xPmAOVnY4tB91D2sDra3vT1f18xsNNq97e2sxLz9j15sy2e+EsdgqAA69mJW/Zz8bt0OTLlbZ7OKBxXYS1fxusWfwWkMdtOszv2nXm+3bcLENAL5/yMX7zQzs6sTmKx2QcohIYQQQgghhBBCiAWm88uhlNI/TSm9klJ6FLb9g5TSN1NKD6eUfieldBr+9vGU0pMppW+llP7qWzVwIYQQQoijjGIwIYQQQlwrSmxlnzSz/9nMfg22fcbMPl5V1Til9PfN7ONm9ksppXeb2cfM7D1mdqeZ/UFK6YGqqojGrSFlKRuTIE+DRaiYNBYlqyg1W4pl/cxO1WyvmKS4ZIFrtvBqNNYCKqYIc8cQrX7cLbNmx8nsa75S8v/fOY4SOx5KhpmMOgL/jguRufNNJOJukVqosz6zZDj1KJFI4yUpWrw8str0kXXaDrk0WNnGuAh3vYD2xEmhiUTaLeIYl6dO8g3bR0EbaHVjsuQSGfMS3BMD/38z83J7Ji929igLcRLops++cmWEbU/B39kjNYw9WYMlfJZwsUGoE+w7cAsnQhPMHTuNn41qMt8nWqmGb+SFkP0zDQe6nJ8anCfQEjbA+aNuf3oyL/rnrLTYzzLefCg1RksWWuyArUCOjLaGjnfFrG3y3uqal3G/V/ICg8NXoP6ZW9ri+MyJXGcr77v64lUzM1u/K1vJxqu57yt35Ad1dDmXj78YS7Hdoq4wZ7z5vpl0+ubl7Psdw8Kar0yyjPpbD91nZmYbl2Ur2wOftLc8BiMwi35NGhML/SB+VxURWLLCRWR31mUw+2dXUhBnYynovyvGYvOC65MsVN1lWSNjqpitq69lI/qzm/+IdQRfuDhHEtdHis5nyTXGcfVJQkPvWbR1xQtvT5fi+s7i1izeDf1421l8rWgCFYzfgu1uGYKChbx9HYvrDOa3+8W443iIWebY4t2dC3mzeBFjM7q2QLAvm1NI7OZupQKr2M7uzMymLrhF2yZYMdH9ic+VW1IEpvPG5nk5L45sm9ke5QYOcZetQHkr+HxtZoMpXs/6Hjt5DI4B4ztYdgM+hzi7G4y7cgtSE3taOxAyj+CxwbgrElelpY55D+pOz+cYLL0K/dx+ax7KqWw3G63nfVdevmxmZut35xhospZv8Mtvy+dnGRa4PvECXDfAzw25nTfeNztXGINtw8N7fiv3/9QX7jUzs60rZTFY51u7qqo/NrMLO7b9y6qqmk8DXzCzu+vyR83sN6uq2qyq6mkze9LM/mLRSIQQQgghRItiMCGEEEJcKw5izaG/YWa/X5fvMrPvwt/O1dvmSCn9rZTSl1JKX9qarkdVhBBCCCEEZ/8x2EQxmBBCCCH2ma0spfQJMxub2a83m4JqoY6rqqpfNrNfNjM7tXx71UrClmBIxAZGBpPLaC0axLIzh7M1BDaIAhtUUaaxadA283cUZFBzWRz6ZARhY53G465YdpBQOh1L/tK4W9VekQwWnbJiJiNmsmiUJeJpjo6fZQggmdiczJ7R3JOJSEzBd4YZmRIqDqF7vDzLUTYPYlljsCwg/t6D+k1mN5QXE8k1ZnOrlnB7LLXukk77bBdQRhkms551ZBBx9z2xxlHLXId02tnlCux1TprsspfEGUui29Cpn0m2D7RbnXkFbjJ4fhOez6Y+3ncoVya23vFN2R6GlrDB5XyTO+l0zWQtt43Hg0/j9umcNWL0JrZHbB1dmRYx+xjaUnCHjvZmdYL3GR5jYNsxM0trWbqMLS9dyPa9W155M9evx3tsIx87Sr7XXoHMG5DBaPtUlhu7ew8yaIxX8s185m0XzcxsAL5NlDSfu9oug2N3/OnsOF++UmBnEcUcWAy28rYqfM/inIbZroJn0wH3WyqxSiEu69numWmLoPvubluiGVtLlhPoyL7j5peSjGtse4f1Cy3V7h8lcVIX0XUyH+c6WPzdYyxFSzywGCc6b3hPV3meH3RlUjKfJddZ7NjxN3VZvMqyHLOMus7uVT9vBbY3F5u5mC22vvnYp7bJYezk7gPcjuMjsSMuTxD0SbO5kViPZfT1WX99H3NtM2cayQrs6Jqm2CMNWc5uehpi/qubuRLaNcfzz1IF8VUyeJfj+VldgXI+oITZXtGSNoV5fjRrcwr7YUZUg9h+cizXWXodfniA+BLbDudDtKCNu+Okks+ybQzq5gLSHp7vkydge9539PIbbfn0uWxDa7KvH1vP1w+vz9pL2fKPtrvt07BsAj4OcJrHa/kPt9QxGDKGh+O5Kze35Ts/P2vk5Utl8/2evxxKKf2Cmf2smf1ElQ1+58zsHqh2t5m9sNc+hBBCCCGERzGYEEIIIQ6aPdnKUko/ZWa/ZGYfqarqKvzpU2b2sZTSSkrp7Wb2LjP74v6HKYQQQgghFIMJIYQQ4q2gUzmUUvoNM/vLZnYmpXTOzP5Lm2XGWDGzz9R2pi9UVfXvV1X1WErpn5nZN2wmdf7F4iwZrcwT9VM4UhhqZMtBRuSwiOWJ0UrdSrI/lGSCmIB0r5H8E+kyStCYxcodAbHgVdFxYhtO6stW78dj7tEPMkJJeoEskG3vYWUroiubHGtvr1JsM5AlQhsoy8YnpqQfZnGLNg7JfYor+pP6LqsU1un6irlEhk+yOoUyaiLFdjLMIMvCrkPEW6yWJtN7mt0S2I+zxuE5rLeNyEkLJNxz/bisIrgDNNNcW5ZkB5P6YfYxOG9rT7+eKzlJ8/x85CyuYGdy9xgopJc20e4V29cc9blYfv71+O/A8HU8QcTK4bJfBnYzJ2mObWUOJmNGyTK20zAhVp21LC928/VVyEiC2Tmw7ab+lSznTiDhHr0I/Z890xa3bo6l6DbJ5YsP5Gu/Vh/ys5dzBrUTo3yRv/ro29vyg4/PJNfD9b0lzVpkrk0MVsXvEWZRX+oIHV0GUbg3C2zN3o7eWKNJ3MViM9KeG+JeLWsl9aNlAXCsywVtlNj/g4y+1LJWYuti/Ufzm7NSFZz7EvtYMJYSy5az+bDj7LTgdY+JWg3ZWKK2i+JcnH/h3RvvaSlI/+aG0bXUxFyDxOLWtUzFAT1LnZ8nWHZfl5WNZEwM5gn/uS7uki1VwOz6KbrO+PfAGmZmNnopW5US2JJsBd7P2/Pv+4SZVjfyfni0CWICd95wjsbYGfet2xy9eTkcN7Y3ZNfPZSuD+CXKijkh8U3f53tKYqyOtp2dH9u+Ar/FTMl7LqhbYSbe53OVdNfbcp1boU8Xg+V9X38gx7crdXZYtI+tLeX74BsP39uWH/zmS7O+N4JxBnR+OVRV1c8Hm39ll/p/z8z+XlHvQgghhBAiRDGYEEIIIa4VB5GtTAghhBBCCCGEEELcoOwrW9mBUWXZlhOjuQxkHVIoZvFimQGwe5ZpobVmoDUhltwxySyVqnZkYnPZvRKR0QEoWXPZ15p9S7KE9LGmMZgkE2ToJe0lkv2nPf9u9Xoine5pCUM5dmemur7gfchsdW3nPbOX9Om7K3PLTlDSzMbd3Ft4r5dI/Aukp6E0F3BWN+bUKsj24eo3blLWKZ4GmrUi7+2S/dXnxc0LJRkQsU+SQc6PcTq/Hw6PPTP4+GDWCnzeAuuXe3a2MNsFyQpRkXkU6bAyUCsXs+OxsQTtVF3ZmMz6y+kbKTix1iSWobIkyyZkIbFGXu6k8pCZZDnL0yfHiJUM2DyV7+D1u7NkeWky237+Ss688fz4VFu+449gfM2Y9mPHFW8t0TyO92SXNYbN7SzW6WO1Qfu3i42IzZ4R2WVIpquKWbBLnvUo5RHLRlvSnpsz4vm6qeMsvsxKW4K7hgXLJhwwJXbwBm8jxz/s3ga1e5H9aD+szaBtH84zm9weY80SCz9Sck9Mg+e64F4uibW6+y7ZDjEqxi/EttVeCxwfWutJDFa5z5hx0y4jakfGQjb/oS2/2gRbGXwGxuzUzWfnCmxlVUfdWf8FGRNx6J01ABbTopWsq88Sq77rk334hD6b+ZA8X2mISxLsHiPubCeh7a85/9BGwhhsNS8bMF3L+zG74ubNOUvv+j1wbcez8b56Ocdgm9u5n7v+FYy1Zwwm5ZAQQgghhBBCCCHEAqMvh4QQQgghhBBCCCEWmMNhK7OqlczxDEEgUY/k90weyWxGLiMGyJRxhftIDl1ii3FSRLdWfC51ZUIjMGuP295lWyJURB6aMPsbk9422yMJqvmV6ROTKGMZJZxo5WtW5sdr465fnKnI4eShmN1gj3Jp2k9Bdo4GvGYlkuI+cug93g9mFmdd2UnTJ6vaV4ZOs/3NS0ITsUQxCbCTDI97WAXYfYruowILV5elkkma95rVg7bH5M14PlGmjFkXujIGXisKMh8lZovp3A+zReKctnvWk90bretj28SKidYvln3TzddYp5E3k/ungrrTZRgLHg7seukeqLOcJc1bW0t1e3nHq8/e1JbveuJS2L84jKTuedxVr+t2ZRI185awoqEQy0rUD7UeFGSuiaYsjHv6Wr9IO21GR2eJjbNzUtss295h73NzBHuXl2QO2+v7EZtDS1bJuQ3uMZ+ds+C+6hoL+TsdX8H72Y0x7LxguYMi62LBs9f1d2ZBxF3xtoksWQjE5XuOtbCfrlhwtzpIV6a8kvPTd4mJjmOgWQXBElZdzdnFXIayHhy4CbTkc2rJ0iFddfA5YrEea4NZ96MYDO1j+D3DCsZg2dblxxh/X9Be24IYrFru/hrmzXthvEvZdri9Nb/v1rMn2vLJb0F2357vMCmHhBBCCCGEEEIIIRYYfTkkhBBCCCGEEEIIscAcElsZQCWCsOJ4tAr9kMgZnUSZWAWIJSvMlFSS2aKPbJRkQivB9TkosGo1/bBV8pn9CDMRdWU9Y9Y9IqmumFywh02lIrYLlumKWnEiF2FJ5rA+kmKz9lYuahth1welje4e7x5KL7qydKE6s0Cmy66Dc7cE2WhKskYU2bCWOk6Qsy9gFoHYhkUtXDisSGpcIFfunfmjsTLgMAb53nDnlR3POM4aF43QZ8HA8xBLdouyjiFNlreSbCyDAkvAXm1w2HbfNrpscPg+WQVJ83Isaca5xj33K7P6qSDjGr5D0D4wBavY+lmUvOdKW+sj938zs7NfzFUHl7IVMWe56RySuB5UVc6mx+aj0E7AsiCV2FmJtarLAoJQi0PBPNFa4ZllmPmEmZWBjLuxwlfxea3Ie8bBppouq0CB9ba3PTaiYA6vWILePv33yXC321ja01Jwn3TZHEvoayUrymAabO98Xo3aFWksvsdj7hVrmYXxVl+bfdE90ZRL5hxm+US6nkES8+JIWXyFn8nSNM7SGM9je8/oRRl2LbNScK5KYsPSv++sUwJrp/kz3uuQAZZ9xkQbJcZgzVHSGAzOwxSfDTht49W8ff1tcQy2Xcde2xCD3fkQNHd57zGYlENCCCGEEEIIIYQQC4y+HBJCCCGEEEIIIYRYYA6JrSyZLXUMJZBCJiaDpLacSVymlqxmZfNu61MqyIpWDYJyivumFi9Gl8WBWZ8K5KtoQ3MZJ/C0RNlLkEksCXXH2Ue+WrDyepHFq0PCXlEN3j6k2IOgbbx9sH9il2FyW3cf1vcvtSSx+5SdW3S3sGem2eT+wTLHxJvD+8rMquYeYscA95jLEDaMz3NnhgonJye7oZSUJDSIjrOv5ZHWZ/d4dG7ZdIl3nDuePCenasV2g9oIGcyG0GE3q9ZgHGzOY5koe1r5wv32s70LfKYwm0WJpTDK4lOx9xo8G0s4F+cqV++I7WZpC7fP2ll+Id/4px/N2THcuW/fD2T84vAzITFOAz67LMNfXztI1Dftc/d30hxt5pqe7/ISq1YPnM2fPCCVy9C5+7FR6z/NNLtHuwzS13Kz5znSmW5ysUcmytmuPY7NjbWfDS18nxfEYLx/sm9kV2cfCTBOKbFwhhYm0jYeG4u12DG7chUMqadNrc9HKDJummmWdd8j7kIqnCMx6xVmzCrJwNhVtydoeU1Nxi60uU86rG5mO5ZtwczScGwHHYMxO1fX51TISuasZMxe6D4jBJ9FqAU5FzGGT3Cq1s9ArAW7pq357xFWn8/jPvXI+Vx5HzGYlENCCCGEEEIIIYQQC4y+HBJCCCGEEEIIIYRYYA6HrSzlLDQVStCITDl1ScNYhrISqV2XRK9kRX+WqSjIRlYRK5WTtJVIYJ2dKBhvSfYDZBDbCjozN/SRc++sz659R4YKmsFoH1LnKlqZn52HvUo4nUwVzwNUKbEfEZtgm30ispzs7L9kjD2oiPw7+RQN8bhcQ3gvd3SK2ZuMnBO8rGjzdJLm+n9opySZBKuCTCtRggSWlIbf91BktzXWGc1XKrGsJWL/pPdBtL0gQwO1g/iBzfUzvWkt77a+3ZadNHdzDNsL3hFIfS6YdQPna5b1MWpvX/S1ITTvUqfSj+0GaYxzXt6+dSrvPLqSt48n8F7YmNU5+2XIare+FY/vgGTu4q2iip9blgUwyo7ksln2tKt03dcF8w+1Xh3EvbfH96AZeUfsqz1oZjIf9yVmp+kzh/cdE8vW27ftrmy4NBMxWjpILIxEbbNYHO/7vhbE3frbZzveLj/ffhoc0DMQnXOWeY6Nj73DSD8pCiF630ukmy6rH7HDlcRPoc2/5HODc+z2jLua+3NK7FsM9jkZq4whlqozqFbHsrXfve9x2YutHJu5uI9kXg0pyRbp3j+4RMkw3h69t4o+Dxe8q4LPKpVhvEiyokPMjXP7JonB0hRisPVZ+eyX8vlOVze6x1eAlENCCCGEEEIIIYQQC8zhUA4hBb/EN4tk0W9YnRql4BtUt9hU8H1ZybeMJYqM4NvHRBZ5rNhqauyXPPbre3Q+sWnXHlEtMMYdvzQiJb8s4SEwxcg0+Ds790ypULDYd5rU38TiuKfxuIsWqnONJ///HVQFv8rsfUHFgjru2KAOfTbr7ex8A1N2v7Gx4LDq60YX5Cw4zoSKIreAdcevC6SftA19sl8VI7UbXQR/9/3Mdhw/mZtS84PPMD7fXYua7qxPfxlu+yML/Lv2YKiw6CL79Sca4+DN9XC/NIbN2/APoCpRM0R1I+mX7VBU7nWB+pJfBvfzS3y0H/yijO+f9VvyNRmiAMg9g7mdlddn5ePPvAltw69aGF20z1TPcYtrQ+UXH83b8ddteDa71D0lizYzFfIe7/cStR/tv60Mz8Y+3jNubooW1i9RUhT0SZWMUd2C2Jq+TzraxnmELojN+jnoRasLBzkaLwAAD01JREFUVPx7nkeJgtjRcetXJc+Gi3l7jBUPfcACSRwMflbCeKhDTcHOA77WXX3sExUUJM6P3CFdddlYd9QJz6YbH4m7xuhsgD+QZDJtHXzYp2QBZwZbgB33bZ49pgRizxqbF/HzESzQ3MRV6RLLJANxV7QQsllZIpKu8SHuMwepj7FmU7/EVdL3PRTFxVX8+d7djxiDnclBU1EMdmH2h2NPv5ErDMi7tGcMJuWQEEIIIYQQQgghxAKjL4eEEEIIIYQQQgghFphDZytjiwuj5LldvJpIH1OJbLPfoHIZF5Vi1hBGJLUjNhu3IBuRo7nFVqk0t0P+zeTcTjZJVzgk25v9ei42zbbjGJsisXqUSTWh3HXd2P2IskBckG4an0O36Fhbpcdiy2bcBoXjQhtRLS2liynTUwX9uP47rI7OgkDk6azLg1iwsac83y1g6hbK3t3258D17pltC602UZPOuojXmPRZNK4exwBUzkqWD47ZX5vz2WU7m4Naz+BcRQupk3OFOMsasal1Wh9KFinsKztu2mHvDWZVxSb6XE9coB27gclmfCLLxkfrudJwK5fHa7mdyWou3/pYvfAhnGNMpODmxWbcB/1uFgdDimMvF2O55ydoA+f5kmcG7wU2v3RZoQqeh1ThnFZ+/3EbVs93VfR+dB3F9i32Pumyh9G/78OeGl7vPVot5huPF+bN28i9wfphx+8WKZ/Ot43g4rp9PyWFL3mcgPdvTTMzb4Vq2CYVWHs9LVktJQtzu1gLzqdrp6OfvnUL7rfoHUrnK2SJvLcH8Tu8KbvPCuy9voT3GxzouCChUnu/93weWRyytLsdscjKim2wzw0sButjJy1JbII0zx5dSLogjmVxWhQX4z2Dn9/g/IxPLLfl0dV8roabuT2MwcaruclbH12fO4YKF/2O5k722XkHitSEEEIIIYQQQgghFhh9OSSEEEIIIYQQQgixwBwSW1kyWwqG4uS283auVCAJLYLVb/pn2bDYdmaPiuR6TJZXIAF2UuMemZKc1Kwkyxqjw5pRraAtJbAYmFlCSSaOBY8nlCUSO1rJ9XEZEDokj/h3uH7s3vM2rLjpSMJa4Z6oBGTXahqftwSy4tRojImNkElcmXWSZWVD+1H+e0HmMGd3i++P8OvrEulwQWYWVHdH9Z181l0z8nyT/l2mgWZKwe7QSuasmCwjCDm2yL6GNjFnSY2bwEOrRlAJ1baYtaN5PqJ7YC/0yVqE9yCxeaKVlx5zl9Wk7xw52eP8GtlnbUd2G/fc5X9Ml2FuarosyLqyfD5nf1t+Pbc3Wc3v4+2T8G7GaXdzdm6nq5jRhM1X3RkixeEgsvCbmdnyHsPFDul97zZKYEsO9LGR7+c9g/s2cQN5ZzubAomHnD2hI6NjkQWtZyaw2D7S3Qa18e01i1jJflMy73RlX3NzFARvm5g2KLaxdNmUE1tWgdlYyHuwMzYiSxng4fg2Cu6D6F4tsEAn8txRK054q8RxMaPIHhbVxWeKfFYxFj+wGLndL7bq+8FAHYy7KrAIwT3kssMGbdIlDgqyHrJxhZ/xWNY4PJ8DsgRGSVbDtnLBZzkcCpsDwsrEdoyxM43B8rnHz7vNHOQcpC4uzWNaeflyW16+kNuYrOVrPz6JVjGw/2+M677h72N8P0RZmK0IKYeEEEIIIYQQQgghFhh9OSSEEEIIIYQQQgixwBwOW1lKWXrbx/5TkPWlSNbv7ExOJ7f7fgy6qjzID5vjLbHAlWTOQbrGy85b37adNLfJxANyxjGxXrFrwqSqS/MSW5f9YBJkgdtZZjJz0mc7xqKsEfu3TCQjWQk6MxQYl9tGtkiUo7JV+pFpru+zTMD5j65zSbYllxEPdsXtk7hOCN4mbnv3RXSy56C+s5gxiTjWJ3auLqqezyDa07pscjs6CvfDY2MSbffsNWMZEw9lSWbCvnNgAB6te46Xej5XEX1tyiUS7WAcKCfH8hRl5s72R2wN7XkmVlV4Xgeb4EPdgvO2nrcPr8bj6sz60tO6Ig4hLLtNc4/vxzLG7pU+8VZJ1hnWZ58xkfZYFkdnt9gez4+1ZEysPloZRsH5L4h7emf27HNN9mVZC8ZbYu/rOZbo/ZhYsFeSZY7EutE18ZYXsD27Obxg2YLovBTcYwnfTy6+6vNOhOPpacVk8b97tzRWLDwNBRnXKggeeTbepgL+YxhvxurYXkFc0/l+7LucAB5nkJGVZQ7zFrN4e9F82bXMSo+x7kr03PeMwdwyK33sa5BttQIbdRV8BjUzm5IYrLkWbjEKco0T2FbTdm5vaT1vH16CsZDlHto2DijuknJICCGEEEIIIYQQYoHRl0NCCCGEEEIIIYQQC0wqsjG81YNI6byZPWtmZ8zs1es8nLeaRThGMx3nUWIRjtFMx3mUWIRjNLvxjvN7qqq67XoPQnjqGOyK3Vj30l650Z6ZvbIIx7kIx2im4zxKLMIxmuk4DytFMdih+HKoIaX0paqqfuh6j+OtZBGO0UzHeZRYhGM003EeJRbhGM0W5zjFW8+i3Es6zqPDIhyjmY7zKLEIx2im47zRka1MCCGEEEIIIYQQYoHRl0NCCCGEEEIIIYQQC8xh+3Lol6/3AK4Bi3CMZjrOo8QiHKOZjvMosQjHaLY4xyneehblXtJxHh0W4RjNdJxHiUU4RjMd5w3NoVpzSAghhBBCCCGEEEJcWw6bckgIIYQQQgghhBBCXEP05ZAQQgghhBBCCCHEAnMovhxKKf1USulbKaUnU0p/93qP56BIKd2TUvpcSunxlNJjKaW/XW+/JaX0mZTSt+v/33y9x7pfUkrDlNJXU0r/ov7321NKD9XH+H+mlJav9xj3S0rpdErpt1JK36yv6b9xRK/lf1zfr4+mlH4jpbR6FK5nSumfppReSSk9CtvC65dm/E/1nPRwSukD12/k5ZBj/Af1PftwSul3Ukqn4W8fr4/xWymlv3p9Rt2f6Djhb/9pSqlKKZ2p/31krmW9/T+sr9djKaX/FrbfkNdSXH+OYgy2SPGXmWKwo3I9FX/duO9sM8Vg9d8Ug91A1zLiun85lFIamtk/MrOfNrN3m9nPp5TefX1HdWCMzew/qarqQTP7kJn9Yn1sf9fMPltV1bvM7LP1v290/raZPQ7//vtm9g/rY3zdzP7mdRnVwfI/mtmnq6r6PjN7v82O90hdy5TSXWb2H5nZD1VV9V4zG5rZx+xoXM9PmtlP7djGrt9Pm9m76v/+lpn942s0xv3ySZs/xs+Y2Xurqvp+M3vCzD5uZlbPRR8zs/fU+/wv9Xx8I/BJmz9OSyndY2Z/xcyeg81H5lqmlH7MzD5qZt9fVdV7zOy/q7ffyNdSXEeOcAy2SPGXmWKwG/56Kv664eMvM8VgisFuvGs5x3X/csjM/qKZPVlV1VNVVW2Z2W/a7MTf8FRV9WJVVV+py5ds9iK7y2bH96t1tV81s792fUZ4MKSU7jazf9vM/kn972RmP25mv1VXOQrHeJOZ/Vtm9itmZlVVbVVVddGO2LWsWTKztZTSkpkdM7MX7Qhcz6qq/tjMLuzYzK7fR83s16oZXzCz0ymlO67NSPdOdIxVVf3LqqrG9T+/YGZ31+WPmtlvVlW1WVXV02b2pM3m40MPuZZmZv/QzP5zM8NMC0fmWprZf2Bm/01VVZt1nVfq7TfstRTXnSMZgy1K/GWmGMyO1vVU/HWDvrPNFIOZYrAb7lpGHIYvh+4ys+/Cv8/V244UKaX7zOwHzewhMztbVdWLZrMAxsxuv34jOxD+B5tNBtP637ea2UWYDI/CNb3fzM6b2f9WS7f/SUrpuB2xa1lV1fM2+yb8OZsFJW+Y2Zft6F3PBnb9juq89DfM7Pfr8pE6xpTSR8zs+aqqvr7jT0fpOB8wsx+tLQZ/lFL6YL39KB2juLYc+XvniMdfZorBjsT1VPx15OMvM8VgZjf2cS5EDHYYvhxKwbYq2HbDklI6YWb/l5n9naqq3rze4zlIUko/a2avVFX1ZdwcVL3Rr+mSmX3AzP5xVVU/aGZX7AaWLzNqz/dHzeztZnanmR23mSR0Jzf69eziyN3DKaVP2Mxq8evNpqDaDXmMKaVjZvYJM/svoj8H227I47TZPHSzzWwy/5mZ/bNaJXCUjlFcW470vXOU4y8zxWDXd0gHi+KvlqN4/yoG89yQx2kLEoMdhi+HzpnZPfDvu83shes0lgMnpTSyWWDy61VV/Xa9+eVGUlf//xW2/w3Av2lmH0kpPWMzOfqP2+xXrNO1LNbsaFzTc2Z2rqqqh+p//5bNApWjdC3NzH7SzJ6uqup8VVXbZvbbZvZhO3rXs4FdvyM1L6WUfsHMftbM/npVVc0L6ygd4ztsFlB/vZ6L7jazr6SU3mZH6zjPmdlv1/LsL9pMKXDGjtYximvLkb13FiD+MlMMdpSup+KvGUduTlIMdmSOcyFisMPw5dCfm9m70mw1/mWbLej0qes8pgOh/jbxV8zs8aqq/nv406fM7Bfq8i+Y2f99rcd2UFRV9fGqqu6uquo+m127P6yq6q+b2efM7N+pq93Qx2hmVlXVS2b23ZTS99abfsLMvmFH6FrWPGdmH0opHavv3+Y4j9T1BNj1+5SZ/bt1loUPmdkbjfz5RiOl9FNm9ktm9pGqqq7Cnz5lZh9LKa2klN5us8UCv3g9xrhfqqp6pKqq26uquq+ei86Z2Qfq5/bIXEsz+12bffizlNIDZrZsZq/aEbqW4ppzJGOwRYi/zBSD2dG6noq/8vaj8s5WDHa0rudixGBVVV33/8zsZ2y2gvt3zOwT13s8B3hcP2IzWdnDZva1+r+fsZkf/LNm9u36/7dc77Ee0PH+ZTP7F3X5fps9GE+a2T83s5XrPb4DOL4fMLMv1dfzd20mLTxy19LM/isz+6aZPWpm/7uZrRyF62lmv2EzH/+2zV5cf5NdP5tJRP9RPSc9YrPsIdf9GPZ4jE/azAvdzEH/K9T/RH2M3zKzn77e49/Pce74+zNmduYIXstlM/s/6mfzK2b24zf6tdR/1/+/oxiDLVr8VR+zYrAb/Hoq/rpx39m7HKdisBvwei5yDJbqAxJCCCGEEEIIIYQQC8hhsJUJIYQQQgghhBBCiOuEvhwSQgghhBBCCCGEWGD05ZAQQgghhBBCCCHEAqMvh4QQQgghhBBCCCEWGH05JIQQQgghhBBCCLHA6MshIYQQQgghhBBCiAVGXw4JIYQQQgghhBBCLDD/P4ZNgC13vFSNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1440x1296 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig=plt.figure(figsize=(20,18))\n",
    "plt.subplot(1,2,1)\n",
    "plt.imshow(amp)\n",
    "t = plt.title('Before (distorted)')\n",
    "plt.subplot(1,2,2)\n",
    "plt.imshow(amp_rectified)\n",
    "t = plt.title('After (rectified)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
